{"id":621164,"date":"2023-06-20T18:46:57","date_gmt":"2023-06-20T13:16:57","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=621164"},"modified":"2025-04-08T12:54:42","modified_gmt":"2025-04-08T07:24:42","slug":"surface-area-of-hemisphere-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-hemisphere-formula\/","title":{"rendered":"Surface Area of Hemisphere 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-hemisphere-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-hemisphere-formula\/#What_is_a_Hemisphere\" title=\"What is a Hemisphere? \">What is a Hemisphere? <\/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-hemisphere-formula\/#What_is_the_Surface_area_of_a_hemisphere\" title=\"What is the Surface area of a hemisphere? \">What is the Surface area of a hemisphere? <\/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-hemisphere-formula\/#Applications_of_surface_Area_of_Hemisphere_Formula\" title=\"Applications of surface Area of Hemisphere Formula: \">Applications of surface Area of Hemisphere Formula: <\/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-hemisphere-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-6\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-hemisphere-formula\/#Solved_Examples_on_Surface_Area_of_Hemisphere\" title=\"Solved Examples on Surface Area of Hemisphere: \">Solved Examples on Surface Area of Hemisphere: <\/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-7\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-hemisphere-formula\/#Frequently_Asked_Questions_on_Surface_Area_of_Hemisphere\" title=\"Frequently Asked Questions on Surface Area of Hemisphere\">Frequently Asked Questions on Surface Area of Hemisphere<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-hemisphere-formula\/#What_is_the_area_and_volume_formula_of_hemisphere\" title=\"What is the area and volume formula of hemisphere? \">What is the area and volume formula of hemisphere? <\/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-hemisphere-formula\/#What_is_the_CSA_and_TSA_of_a_hemisphere\" title=\"What is the CSA and TSA of a hemisphere? \">What is the CSA and TSA of a hemisphere? <\/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-hemisphere-formula\/#How_does_the_surface_area_of_hemisphere_change_when_the_radius_is_halved\" title=\"How does the surface area of hemisphere change when the radius is halved? \">How does the surface area of hemisphere change when the radius is halved? <\/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-hemisphere-formula\/#How_can_you_find_the_volume_of_a_hemisphere\" title=\"How can you find the volume of a hemisphere? \">How can you find the volume of a hemisphere? <\/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-hemisphere-formula\/#What_is_the_total_surface_area_of_the_hemisphere_of_radius_7\" title=\"What is the total surface area of the hemisphere of radius 7? \">What is the total surface area of the hemisphere of radius 7? <\/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-hemisphere-formula\/#What_is_meant_by_curved_surface_area_of_hemisphere\" title=\"What is meant by curved surface area of hemisphere? \">What is meant by curved surface area of hemisphere? <\/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-hemisphere-formula\/#What_is_the_difference_between_area_and_surface_area\" title=\"What is the difference between area and surface area? \">What is the difference between area and surface area? <\/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-hemisphere-formula\/#What_is_the_Base_Area_of_a_Hemisphere\" title=\"What is the Base Area of a Hemisphere? \">What is the Base Area of a Hemisphere? <\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><b><span data-contrast=\"auto\">Introduction:  <\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&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 includes the sum of all the areas of the object&#8217;s individual faces or surfaces. Surface area is typically measured in square units, such as square centimeters or square meters. It is an important concept in geometry and is used to determine the amount of material required to cover or wrap an object, as well as in various calculations and formulas related to shapes and structures.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">What is a Hemisphere?<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">If a sphere is cut in half, it will lead to two hemispheres. Thus, a hemisphere is half a <\/span><span data-contrast=\"none\">sphere. Its radius is the same as the radius of the sphere.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"size-full wp-image-621176 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-184637.png\" alt=\"\" width=\"250\" height=\"184\" \/><\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">What is the Surface area of a hemisphere?<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">A hemisphere has a flat surface and a curved surface. <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<ul>\n<li><b><span data-contrast=\"none\">Curved surface area of a hemisphere:<\/span><\/b><\/li>\n<\/ul>\n<p><span data-contrast=\"none\">This is half of the surface area of the sphere<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Curved surface area of hemisphere = 2\u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">It is important to note that this formula does not include the base of the hemisphere, as it is a flat circular shape and not part of the curved surface. Therefore, curved the surface area of a hemisphere only considers the curved portion.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/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\"><b><span data-contrast=\"none\">Total surface area of a hemisphere<\/span><\/b><span data-contrast=\"none\">:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"none\">Total surface area of hemisphere = Area(Curved surface) + Area(Circle on top)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">\u2234 Total surface area of hemisphere = 2\u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> + \u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">\u2234 Total surface area of hemisphere = 3\u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Applications of surface Area of Hemisphere Formula:<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">The <strong>surface area of a hemisphere<\/strong> is often used in various applications, such as engineering, architecture, and geometry, to determine the amount of material needed to cover or enclose a hemisphere-shaped object. It provides a measure of the exposed surface of the hemisphere, which is useful for calculating quantities like paint needed or heat transfer in certain applications.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Conclusion: <\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">In summary, the surface area of a hemisphere is the total area of its curved surface, and it is calculated using the formula 2\u03c0r<\/span><span data-contrast=\"none\">2 <\/span><span data-contrast=\"none\">and the total surface area is calculated using the formula<\/span> <span data-contrast=\"none\">3\u03c0r<\/span><span data-contrast=\"none\">2 <\/span><span data-contrast=\"none\">This measure is valuable in determining material requirements and understanding the geometric properties of hemispheres.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Solved Examples on Surface Area of Hemisphere:<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><b><span data-contrast=\"none\">Example 1: <\/span><\/b><span data-contrast=\"none\">Find the surface area of a hemisphere with a radius of 5 cm.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The formula for the surface area of a hemisphere is Surface Area = 2\u03c0r\u00b2, where &#8216;r&#8217; is the radius.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Substituting the given value, we have:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Surface Area = 2\u03c0(5)\u00b2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Surface Area = 2\u03c0(25)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Surface Area = 50\u03c0 cm\u00b2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Example 2:<\/span><\/b><span data-contrast=\"none\"> A metal hemisphere has a surface area of 154 sq. cm. Find its radius.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The formula for the surface area of a hemisphere is Surface Area = 2\u03c0r\u00b2.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Substituting the given value, we have:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">154 = 2\u03c0r\u00b2<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Dividing both sides by 2\u03c0, we get:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r\u00b2 = 154 \/ (2\u03c0)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r\u00b2 = 24.5 \/ \u03c0<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Taking the square root of both sides, we get:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r = \u221a(24.5 \/ \u03c0) cm<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Therefore, the radius of the metal hemisphere is approximately 2.22 cm.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:false,&quot;134233118&quot;:false,&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559738&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Also Read: <\/strong><\/span><\/p>\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"height: 47px;\">\n<td style=\"height: 47px; width: 40.8451%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/surface-area-of-a-rectangle-formula\">Surface Area of a Rectangle Formula<\/a><\/strong><\/td>\n<td style=\"height: 47px; width: 58.8028%; text-align: center;\"><strong>Surface Area of a Cylinder Formula<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"height: 23px; width: 40.8451%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/surface-area-of-a-cube-formula\">Surface Area of a Cube Formula<\/a><\/strong><\/td>\n<td style=\"height: 23px; width: 58.8028%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/surface-area-of-a-sphere-formula\">Surface Area of a Sphere Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"height: 23px; width: 40.8451%; text-align: center;\"><span data-contrast=\"none\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-hemisphere\/\" target=\"_blank\" rel=\"noopener\">surface area of a hemisphere<\/a><\/strong><\/span><\/td>\n<td style=\"height: 23px; width: 58.8028%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/area-of-a-sector-of-a-circle-formula\">Area Of A Sector Of A Circle Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"height: 23px; width: 40.8451%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/commutative-property-formula\">Commutative Property Formula<\/a><\/strong><\/td>\n<td style=\"height: 23px; width: 58.8028%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/volume-of-parallelepiped-formula\">Volume of Parallelepiped Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"height: 23px; width: 40.8451%; text-align: center;\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/surface-area-of-a-pyramid-formula\">Surface Area of a Pyramid Formula<\/a><\/strong><\/td>\n<td class=\"xl99\" dir=\"LTR\" style=\"width: 58.8028%; height: 15.75pt; text-align: center;\" width=\"321\" height=\"21\"><strong><a href=\"https:\/\/infinitylearn.com\/surge\/addition-formula\">Addition Formula<\/a><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Surface_Area_of_Hemisphere\"><\/span><span style=\"font-size: 14pt;\"><b>Frequently Asked Questions on Surface Area of Hemisphere<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\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_area_and_volume_formula_of_hemisphere\"><\/span>What is the area and volume formula of hemisphere? <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 formulas for the area and volume of a hemisphere are as follows:  Area of Hemisphere: Surface Area = 2\u03c0r\u00b2 Volume of Hemisphere: Volume = (2\/3)\u03c0r\u00b3. \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_CSA_and_TSA_of_a_hemisphere\"><\/span>What is the CSA and TSA of a hemisphere? <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\tIn the case of a hemisphere, the CSA (Curved Surface Area) refers specifically to the surface area of the curved portion of the hemisphere. The formula to calculate the CSA of a hemisphere is 2\u03c0r\u00b2, where r represents the radius of the hemisphere. On the other hand, the TSA (Total Surface Area) of a hemisphere encompasses the entire surface area, including both the curved surface area and the area of the flat circular base. The formula for the TSA of a hemisphere is derived by adding the CSA and the base area, resulting in TSA = 2\u03c0r\u00b2 + \u03c0r\u00b2, which simplifies to TSA = 3\u03c0r\u00b2.\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_does_the_surface_area_of_hemisphere_change_when_the_radius_is_halved\"><\/span>How does the surface area of hemisphere change when the radius is halved? <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\tWhen the radius of a hemisphere is halved, the surface area of the hemisphere is reduced by a factor of four. This is because the surface area formula for a hemisphere, 2\u03c0r\u00b2, is directly proportional to the square of the radius. Halving the radius results in reducing the area by a factor of 1\/4, as (1\/2)\u00b2 = 1\/4. Therefore, the surface area decreases significantly when the radius is halved.\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_can_you_find_the_volume_of_a_hemisphere\"><\/span>How can you find the volume of a hemisphere? <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 volume of a hemisphere can be calculated using the formula (2\/3)\u03c0r\u00b3, where 'r' represents the radius of the hemisphere. This formula is derived by considering the hemisphere as half of a sphere and applying the formula for the volume of a sphere. By substituting the radius into the formula, the volume of the hemisphere can be determined. \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_total_surface_area_of_the_hemisphere_of_radius_7\"><\/span>What is the total surface area of the hemisphere of radius 7? <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 total surface area of a hemisphere can be calculated using the formula 3\u03c0r\u00b2, where 'r' is the radius of the hemisphere. In this case, with a radius of 7, the total surface area of the hemisphere would be 3\u03c0(7)\u00b2 = 147\u03c0 square units. \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_meant_by_curved_surface_area_of_hemisphere\"><\/span>What is meant by curved surface area of hemisphere? <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 curved surface area of a hemisphere refers to the total area of the curved surface that covers the hemisphere. In other words, it is the sum of all the areas of the curved regions on the surface of the hemisphere. The curved surface area does not include the flat circular base of the hemisphere.\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_difference_between_area_and_surface_area\"><\/span>What is the difference between area and surface area? <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\t The difference between area and surface area lies in the context in which they are used.  Area typically refers to the measure of the size of a two-dimensional shape or region. It represents the amount of space enclosed by the boundaries of the shape or region. For example, the area of a square is calculated by multiplying the length of one side by itself.  Surface area, on the other hand, is used to describe the total area that covers the surface of a three-dimensional object. It includes the area of all the faces or surfaces of the object. For example, the surface area of a cube is calculated by adding up the areas of all its six square faces.\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_Base_Area_of_a_Hemisphere\"><\/span>What is the Base Area of a Hemisphere? <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 base area of a hemisphere refers to the area of the circular base of the hemisphere. In other words, it is the area of the flat, circular surface that forms the bottom part of the hemisphere. The base area is calculated using the formula for the area of a circle, which is \u03c0r2, where r represents the radius of the circular base.\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 area and volume formula of hemisphere? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formulas for the area and volume of a hemisphere are as follows:  Area of Hemisphere: Surface Area = 2\u03c0r\u00b2 Volume of Hemisphere: Volume = (2\/3)\u03c0r\u00b3.\"\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 CSA and TSA of a hemisphere? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In the case of a hemisphere, the CSA (Curved Surface Area) refers specifically to the surface area of the curved portion of the hemisphere. The formula to calculate the CSA of a hemisphere is 2\u03c0r\u00b2, where r represents the radius of the hemisphere. On the other hand, the TSA (Total Surface Area) of a hemisphere encompasses the entire surface area, including both the curved surface area and the area of the flat circular base. The formula for the TSA of a hemisphere is derived by adding the CSA and the base area, resulting in TSA = 2\u03c0r\u00b2 + \u03c0r\u00b2, which simplifies to TSA = 3\u03c0r\u00b2.\"\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 does the surface area of hemisphere change when the radius is halved? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"When the radius of a hemisphere is halved, the surface area of the hemisphere is reduced by a factor of four. This is because the surface area formula for a hemisphere, 2\u03c0r\u00b2, is directly proportional to the square of the radius. Halving the radius results in reducing the area by a factor of 1\/4, as (1\/2)\u00b2 = 1\/4. Therefore, the surface area decreases significantly when the radius is halved.\"\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 can you find the volume of a hemisphere? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The volume of a hemisphere can be calculated using the formula (2\/3)\u03c0r\u00b3, where 'r' represents the radius of the hemisphere. This formula is derived by considering the hemisphere as half of a sphere and applying the formula for the volume of a sphere. By substituting the radius into the formula, the volume of the hemisphere can be determined.\"\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 total surface area of the hemisphere of radius 7? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The total surface area of a hemisphere can be calculated using the formula 3\u03c0r\u00b2, where 'r' is the radius of the hemisphere. In this case, with a radius of 7, the total surface area of the hemisphere would be 3\u03c0(7)\u00b2 = 147\u03c0 square units.\"\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 meant by curved surface area of hemisphere? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The curved surface area of a hemisphere refers to the total area of the curved surface that covers the hemisphere. In other words, it is the sum of all the areas of the curved regions on the surface of the hemisphere. The curved surface area does not include the flat circular base of the hemisphere.\"\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 difference between area and surface area? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The difference between area and surface area lies in the context in which they are used.  Area typically refers to the measure of the size of a two-dimensional shape or region. It represents the amount of space enclosed by the boundaries of the shape or region. For example, the area of a square is calculated by multiplying the length of one side by itself.  Surface area, on the other hand, is used to describe the total area that covers the surface of a three-dimensional object. It includes the area of all the faces or surfaces of the object. For example, the surface area of a cube is calculated by adding up the areas of all its six square faces.\"\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 Base Area of a Hemisphere? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The base area of a hemisphere refers to the area of the circular base of the hemisphere. In other words, it is the area of the flat, circular surface that forms the bottom part of the hemisphere. The base area is calculated using the formula for the area of a circle, which is \u03c0r2, where r represents the radius of the circular base.\"\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 includes 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 Hemisphere formula\u00a0","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"If a sphere is cut in half, it will lead to two hemispheres. Thus, a hemisphere is half a\u00a0sphere. Its radius is the same as the radius of the sphere.\u00a0","custom_permalink":"formulas\/surface-area-of-hemisphere-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 Hemisphere formula\u00a0 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"If a sphere is cut in half, it will lead to two hemispheres. Thus, a hemisphere is half a\u00a0sphere. 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