{"id":620890,"date":"2023-06-20T18:22:41","date_gmt":"2023-06-20T12:52:41","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=620890"},"modified":"2025-02-28T18:03:33","modified_gmt":"2025-02-28T12:33:33","slug":"surface-area-of-a-cone-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/","title":{"rendered":"Surface Area of a Cone Formula\u00a0"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#Introduction\" title=\"Introduction: \">Introduction: <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_is_the_Surface_area_of_a_cone\" title=\"What is the Surface area of a cone? \">What is the Surface area of a cone? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_is_a_right_circular_cone\" title=\"What is a right circular cone? \">What is a right circular cone? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_is_the_Surface_area_of_a_right_circular_cone\" title=\"What is the Surface area of a right circular cone? \">What is the Surface area of a right circular cone? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#Solved_Examples_on_Surface_Area_of_a_Cone\" title=\"Solved Examples on Surface Area of a Cone: \">Solved Examples on Surface Area of a Cone: <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#Conclusion\" title=\"Conclusion: \">Conclusion: <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#Frequently_Asked_Questions_on_Surface_Area_of_a_Cone_Formula\" title=\"Frequently Asked Questions on Surface Area of a Cone Formula\">Frequently Asked Questions on Surface Area of a Cone Formula<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_is_the_surface_area_of_the_cone\" title=\"What is the surface area of the cone? \">What is the surface area of the cone? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#How_many_types_of_cones_are_there\" title=\"How many types of cones are there? \">How many types of cones are there? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_is_the_surface_area_of_a_3D_shape\" title=\"What is the surface area of a 3D shape? \">What is the surface area of a 3D shape? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#How_do_I_find_the_surface_area_and_volume_of_a_cone\" title=\"How do I find the surface area and volume of a cone?\">How do I find the surface area and volume of a cone?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_is_the_flat_surface_area_of_a_cone\" title=\"What is the flat surface area of a cone? \">What is the flat surface area of a cone? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#How_many_surface_areas_does_a_cone_have\" title=\"How many surface areas does a cone have? \">How many surface areas does a cone have? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#What_does_surface_area_depend_on\" title=\"What does surface area depend on? \">What does surface area depend on? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#How_to_calculate_the_slant_height_of_a_cone\" title=\"How to calculate the slant height of a cone? \">How to calculate the slant height of a cone? <\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><b><span data-contrast=\"auto\">Introduction:<\/span><\/b><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"auto\">Surface area refers to the total area that covers the outer surface of a three-dimensional object. It represents the sum of all the individual areas of the object&#8217;s faces, including the bases, sides, and curved surfaces. The surface area is a fundamental concept used to measure and analyze the extent of coverage of an object in terms of square units.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"auto\">What is the Surface area of a cone?<\/span><\/b><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<ul>\n<li><span data-contrast=\"auto\"> The surface area of the cone is the sum of the area of the circular base and the area <\/span><span data-contrast=\"auto\">of the curved surface.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\"> The curved surface when opened is the sector of a circle.<\/span><\/li>\n<\/ul>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"><img loading=\"lazy\" class=\"size-medium wp-image-620923 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725-300x190.png\" alt=\"\" width=\"300\" height=\"190\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725-300x190.png?v=1687265404 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725.png?v=1687265404 465w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"auto\">What is a right circular cone?<\/span><\/b><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"auto\">A cone in which its axis is perpendicular to the circular base is called a Right circular <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">cone.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li><span data-contrast=\"auto\"> In the below figure, cone A is a right circular cone, but cone B is not.<\/span><\/li>\n<\/ul>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-medium wp-image-620926 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181749-300x211.png\" alt=\"\" width=\"300\" height=\"211\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181749-300x211.png?v=1687265423 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181749.png?v=1687265423 487w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">When a right triangle is moved around its axis, it forms a circular base and a slant <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">curved surface. The resulting figure is a cone.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li><span data-contrast=\"auto\"> The top of the cone is the vertex.<\/span><\/li>\n<li><span data-contrast=\"auto\"> The line passing through the vertex and the centre of the circular base is the axis. <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">The axis of this cone is perpendicular to its base and hence it is known as a right <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">circular cone.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"auto\">What is the Surface area of a right circular cone?<\/span><\/b><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"auto\">The Surface area of a right circular cone is equal to the sum of the areas of the circular base <\/span><span data-contrast=\"auto\">of the cone and its curved surface.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><strong>Derivation:<\/strong><\/p>\n<p><span data-contrast=\"auto\">Consider the right circular cone as shown below.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-full wp-image-620932 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181806.png\" alt=\"\" width=\"202\" height=\"211\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">Point O is the vertex of the cone. Points A and B are marked on the circumference such that <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-contrast=\"auto\">AB forms a diameter. <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Let l be the slant height, h be the perpendicular height, and r be the radius of the circular <\/span><span data-contrast=\"auto\">base. <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Surface area of right circular cone = Area of curved surface + Area of circular <\/span><span data-contrast=\"auto\">base \u2026 (i)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Area of circular base =\u03c0r<\/span><span data-contrast=\"auto\">2<\/span><span data-contrast=\"auto\">    \u2026(ii)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Area of curved surface = Area of sector AOB<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-full wp-image-620937 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181822.png\" alt=\"\" width=\"265\" height=\"250\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">For the above sector OAB, the radius is OA = OB = slant height of cone = l<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Area of sector OAB =<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-medium wp-image-620940 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181835-300x65.png\" alt=\"\" width=\"300\" height=\"65\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181835-300x65.png?v=1687265498 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181835.png?v=1687265498 322w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">Now, length of arc AB =<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-full wp-image-620943 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181851.png\" alt=\"\" width=\"291\" height=\"61\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">In the case of the cone, <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Length of arc AB = circumference of circular base = 2\u03c0r   \u2026..(v)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">From statements (iv) and (v),<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-medium wp-image-620946 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181907-300x127.png\" alt=\"\" width=\"300\" height=\"127\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181907-300x127.png?v=1687265532 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181907.png?v=1687265532 358w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">Area of sector OAB =<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-medium wp-image-620950 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181920-300x55.png\" alt=\"\" width=\"300\" height=\"55\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181920-300x55.png?v=1687265551 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181920.png?v=1687265551 330w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">From statements (vi) and (vii), <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Area of sector OAB = \u03c0lr<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">\u2234 Area of curved surface = \u03c0lr    \u2026.(viii)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">From statements (i), (ii), and (viii), <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Surface area of right circular cone = \u03c0lr + \u03c0r<\/span><span data-contrast=\"auto\">2<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">\u2234 Surface area of right circular cone =\u03c0r(l+r)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"auto\">Solved Examples on Surface Area of a Cone:<\/span><\/b><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><b><span data-contrast=\"auto\">Example 1:<\/span><\/b><span data-contrast=\"auto\"> Find the surface area of a cone with a radius of 5 cm and a slant height of 8 cm. <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Solution:<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Using the formula SA = \u03c0r(r + l),<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">SA = \u03c0 \u00d7 5(5 + 8)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">= \u03c0 \u00d7 5 \u00d7 13<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">\u2248 201.06 cm\u00b2<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The surface area of the cone is approximately 201.06 cm\u00b2.<\/span> <span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Example 2: <\/span><\/b><span data-contrast=\"auto\">A cone has a radius of 3.5 cm and a height of 10 cm. Calculate its surface area.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Solution:<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">To find the slant height, we can use the Pythagorean theorem:<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">l = \u221a(r\u00b2 + h\u00b2) = \u221a(3.5\u00b2 + 10\u00b2) \u2248 10.84 cm<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Using the formula SA = \u03c0r(r + l),<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">SA = \u03c0 \u00d7 3.5(3.5 + 10.84)<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">\u2248 147.28 cm\u00b2<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The surface area of the cone is approximately 147.28 cm\u00b2.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><strong>Also Read: <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/surface-area-of-cone\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">surface area of cone &#8211; introduction<\/button><\/a> <a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-formulas\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">surface area formulas<\/button><\/a><\/span><\/strong><\/p>\n<h2><b><span data-contrast=\"auto\">Conclusion: <\/span><\/b><\/h2>\n<p><span data-contrast=\"auto\">The surface area of a cone is the sum of the area of its circular base and the area of its curved lateral surface. The formula to calculate the surface area of a cone is given by SA = \u03c0r(r + l), where r is the radius of the base and l is the slant height of the cone. It is an important measurement when determining the amount of material needed to cover or paint a cone-shaped object.<\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Surface_Area_of_a_Cone_Formula\"><\/span><b><span data-contrast=\"auto\">Frequently Asked Questions on Surface Area of a Cone Formula<\/span><\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_is_the_surface_area_of_the_cone\"><\/span>What is the surface area of the cone? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe surface area of a cone is the sum of the area of its circular base and the area of its curved lateral surface. The formula to calculate the surface area of a cone is SA = \u03c0r(r + l), where r is the radius of the base and l is the slant height of the cone.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"How_many_types_of_cones_are_there\"><\/span>How many types of cones are there? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA cone can be classified into two main types: the Right Circular Cone and the Oblique Cone. The Right Circular Cone has a circular base with an axis that passes through the center of the base. The vertex is positioned directly above the center, forming a right angle with the base. On the other hand, the Oblique Cone also has a circular base, but its axis is not perpendicular to the base, resulting in a slanted or tilted appearance. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_is_the_surface_area_of_a_3D_shape\"><\/span>What is the surface area of a 3D shape? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe surface area of a 3D shape refers to the total area of all its outer surfaces. It is calculated by summing up the areas of each individual face or surface of the shape. The surface area is measured in square units, such as square centimeters or square meters, depending on the units used for the measurement of the shape.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"How_do_I_find_the_surface_area_and_volume_of_a_cone\"><\/span>How do I find the surface area and volume of a cone?<span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo find the surface area of a cone, use the formula SA = \u03c0r(r + l), where r is the radius and l is the slant height. For the volume, use the formula V = (1\/3)\u03c0r\u00b2h, where r is the radius and h is the height.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_is_the_flat_surface_area_of_a_cone\"><\/span>What is the flat surface area of a cone? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe flat surface area of a cone, also known as the lateral surface area, refers to the combined area of all the curved sides of the cone, excluding the base. It can be calculated using the formula A = \u03c0rl, where r is the radius of the base and l is the slant height of the cone. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"How_many_surface_areas_does_a_cone_have\"><\/span>How many surface areas does a cone have? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA cone has two surface areas: the curved surface area and the base area. The curved surface area refers to the area of the lateral surface, which is the curved part of the cone excluding the base. The base area is the area of the circular base of the cone. Therefore, a cone has a total of two surface areas.  \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_does_surface_area_depend_on\"><\/span>What does surface area depend on? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe surface area of an object depends on its shape and size. For different geometric shapes, such as cubes, spheres, cylinders, or cones, the formulas to calculate surface area are specific to each shape. The surface area also depends on the dimensions of the object, such as the length of its sides, the radius of its base, or the height of its sides. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"How_to_calculate_the_slant_height_of_a_cone\"><\/span>How to calculate the slant height of a cone? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo calculate the slant height of a cone, you can use the Pythagorean theorem. The slant height (l) can be found by applying the theorem to the triangle formed by the radius (r), height (h), and slant height (l). The formula is:  l = \u221a(r\u00b2 + h\u00b2)  Here, r is the radius of the base of the cone, and h is the height from the apex to the base. By substituting the known values into the formula, you can find the slant height of the cone.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the surface area of the cone? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The surface area of a cone is the sum of the area of its circular base and the area of its curved lateral surface. The formula to calculate the surface area of a cone is SA = \u03c0r(r + l), where r is the radius of the base and l is the slant height of the cone.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How many types of cones are there? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A cone can be classified into two main types: the Right Circular Cone and the Oblique Cone. The Right Circular Cone has a circular base with an axis that passes through the center of the base. The vertex is positioned directly above the center, forming a right angle with the base. On the other hand, the Oblique Cone also has a circular base, but its axis is not perpendicular to the base, resulting in a slanted or tilted appearance.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the surface area of a 3D shape? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The surface area of a 3D shape refers to the total area of all its outer surfaces. It is calculated by summing up the areas of each individual face or surface of the shape. The surface area is measured in square units, such as square centimeters or square meters, depending on the units used for the measurement of the shape.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How do I find the surface area and volume of a cone?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To find the surface area of a cone, use the formula SA = \u03c0r(r + l), where r is the radius and l is the slant height. For the volume, use the formula V = (1\/3)\u03c0r\u00b2h, where r is the radius and h is the height.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the flat surface area of a cone? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The flat surface area of a cone, also known as the lateral surface area, refers to the combined area of all the curved sides of the cone, excluding the base. It can be calculated using the formula A = \u03c0rl, where r is the radius of the base and l is the slant height of the cone.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How many surface areas does a cone have? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A cone has two surface areas: the curved surface area and the base area. The curved surface area refers to the area of the lateral surface, which is the curved part of the cone excluding the base. The base area is the area of the circular base of the cone. Therefore, a cone has a total of two surface areas.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What does surface area depend on? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The surface area of an object depends on its shape and size. For different geometric shapes, such as cubes, spheres, cylinders, or cones, the formulas to calculate surface area are specific to each shape. The surface area also depends on the dimensions of the object, such as the length of its sides, the radius of its base, or the height of its sides.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to calculate the slant height of a cone? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To calculate the slant height of a cone, you can use the Pythagorean theorem. The slant height (l) can be found by applying the theorem to the triangle formed by the radius (r), height (h), and slant height (l). The formula is:  l = \u221a(r\u00b2 + h\u00b2)  Here, r is the radius of the base of the cone, and h is the height from the apex to the base. By substituting the known values into the formula, you can find the slant height of the cone.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Introduction: Surface area refers to the total area that covers the outer surface of a three-dimensional object. It represents the [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Surface Area of a Cone Formula\u00a0","_yoast_wpseo_title":"Surface Area of a Cone Formula\u00a0with Examples - Infinity learn","_yoast_wpseo_metadesc":"Learn the surface area of a cone formula with step-by-step instructions. Perfect for quick math help and easy understanding of geometry concepts.","custom_permalink":"formulas\/surface-area-of-a-cone-formula\/"},"categories":[1],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Surface Area of a Cone Formula\u00a0with Examples - Infinity learn<\/title>\n<meta name=\"description\" content=\"Learn the surface area of a cone formula with step-by-step instructions. Perfect for quick math help and easy understanding of geometry concepts.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface Area of a Cone Formula\u00a0with Examples - Infinity learn\" \/>\n<meta property=\"og:description\" content=\"Learn the surface area of a cone formula with step-by-step instructions. Perfect for quick math help and easy understanding of geometry concepts.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-20T12:52:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-28T12:33:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725-300x190.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ankit\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"8 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Surface Area of a Cone Formula\u00a0with Examples - Infinity learn","description":"Learn the surface area of a cone formula with step-by-step instructions. Perfect for quick math help and easy understanding of geometry concepts.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/","og_locale":"en_US","og_type":"article","og_title":"Surface Area of a Cone Formula\u00a0with Examples - Infinity learn","og_description":"Learn the surface area of a cone formula with step-by-step instructions. Perfect for quick math help and easy understanding of geometry concepts.","og_url":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2023-06-20T12:52:41+00:00","article_modified_time":"2025-02-28T12:33:33+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725-300x190.png"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Ankit","Est. reading time":"8 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725.png?v=1687265404","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725.png?v=1687265404","width":465,"height":295},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/","name":"Surface Area of a Cone Formula\u00a0with Examples - Infinity learn","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#primaryimage"},"datePublished":"2023-06-20T12:52:41+00:00","dateModified":"2025-02-28T12:33:33+00:00","description":"Learn the surface area of a cone formula with step-by-step instructions. Perfect for quick math help and easy understanding of geometry concepts.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Surface Area of a Cone Formula\u00a0"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb"},"headline":"Surface Area of a Cone Formula\u00a0","datePublished":"2023-06-20T12:52:41+00:00","dateModified":"2025-02-28T12:33:33+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#webpage"},"wordCount":1240,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-a-cone-formula\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-181725-300x190.png","inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb","name":"Ankit","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","caption":"Ankit"},"url":"https:\/\/infinitylearn.com\/surge\/author\/ankit\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/620890"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=620890"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/620890\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=620890"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=620890"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=620890"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=620890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}