{"id":103516,"date":"2022-09-08T22:34:53","date_gmt":"2022-09-08T17:04:53","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=103516"},"modified":"2025-07-31T17:47:01","modified_gmt":"2025-07-31T12:17:01","slug":"total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/total-surface-area\/total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples\/","title":{"rendered":"Total Surface Area of Cylinder, Volume of a Cylinder Formulas, Examples"},"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\/total-surface-area\/total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples\/#Cylinder\" title=\"Cylinder\">Cylinder<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/total-surface-area\/total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples\/#Total_Surface_Area_of_Cylinder\" title=\"Total Surface Area of Cylinder\">Total Surface Area of Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/total-surface-area\/total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples\/#Volume_of_Cylinder\" title=\"Volume of Cylinder\">Volume of Cylinder<\/a><\/li><\/ul><\/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\/total-surface-area\/total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples\/#Volume_of_a_Cylinder_Formulas\" title=\"Volume of a Cylinder Formulas\">Volume of a Cylinder Formulas<\/a><\/li><\/ul><\/nav><\/div>\n<p><strong>Total Surface Area of a Cylinder<\/strong>: Let us carry out a small activity. Take a ring. We know that ring is circular in shape. Now place another ring on the first ring and so on. You will see that when you place such rings, the structure that you get is a cylinder, which is three dimensional. Let us learn about the volume of a Cylinder and Total Surface area of a Cylinder in this chapter.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Cylinder\"><\/span>Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Any solid which has two circular ends along with a curved surface area is said to be a cylinder. It has a curved surface in the middle. The base and the top surface are identical. That means the bases are always parallel and congruent to each other. Cylinder has no vertices.<\/p>\n<p>A cylinder is a three-dimensional figure with two circular bases that are congruent and parallel. The height of a cylinder is the distance between the two bases. The total surface area of a cylinder is the sum of the areas of the two circular bases and the area of the cylindrical surface.<\/p>\n<p>To calculate the total surface area of a cylinder, you need to know the radius of the circular bases and the height of the cylinder. The radius is half the diameter of the circular base. The diameter is the distance across the circular base. The height is the distance between the two bases.<\/p>\n<p>The following formula can be used to calculate the<strong><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/surface-area-of-a-cylinder\/\"> total surface area of a cylinder<\/a><\/strong><\/p>\n<p>A = 2\u03c0r\u00b2 + \u03c0rh<\/p>\n<figure id=\"attachment_76624\" class=\"wp-caption aligncenter\" style=\"width: 180px;\" aria-describedby=\"caption-attachment-76624\"><img loading=\"lazy\" class=\"aligncenter wp-image-76624 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25007639911_d38d57fa89_o.png\" alt=\"Total Surface Area of Cylinder, Volume of a Cylinder Formulas, Examples\" width=\"799\" height=\"314\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25007639911_d38d57fa89_o.png?v=1643666767 799w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25007639911_d38d57fa89_o-300x118.png?v=1643666767 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25007639911_d38d57fa89_o-768x302.png?v=1643666767 768w\" sizes=\"(max-width: 799px) 100vw, 799px\" \/><figcaption id=\"caption-attachment-76624\" class=\"wp-caption-text\">Cylinder<\/figcaption><\/figure>\n<h3><span class=\"ez-toc-section\" id=\"Total_Surface_Area_of_Cylinder\"><\/span>Total Surface Area of Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The <strong>total surface area of cylinder<\/strong> is the area of the circles plus the area of the round section in the midle. The Surface Area (SA) is found with the formula: SA = <strong>2\u03c0r<sup>2<\/sup> + 2\u03c0rh<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-76604 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25100954055_eed2fa49bd_o.png\" alt=\"Total Surface Area of Cylinder 1\" width=\"669\" height=\"266\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25100954055_eed2fa49bd_o.png?v=1643666710 669w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/01\/25100954055_eed2fa49bd_o-300x119.png?v=1643666710 300w\" sizes=\"(max-width: 669px) 100vw, 669px\" \/><\/p>\n<p>Find the Total Surface Area of each figure. Remember, d = 2r. Type your answers in the comment box<\/p>\n<p>Calculate the total surface area of a cylinder for the given problems and type your answers in the comment box.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Volume_of_Cylinder\"><\/span>Volume of Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The <strong>Volume of Cylinder<\/strong> is the product of the area of the base (B) times the height. The formula for the<strong> Volume of the Cylinder <\/strong>is V = B x H. Volume is expressed in <strong>cubic units<\/strong> , or <strong>units<sup>3<\/sup><\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_a_Cylinder_Formulas\"><\/span>Volume of a Cylinder Formulas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A cylinder is a three-dimensional figure with two circular bases. The volume of a cylinder is found by multiplying the area of the base by the height of the cylinder. The formulas for the volume of a cylinder are:<\/p>\n<p>Volume = \u03c0r2h<\/p>\n<p>Volume = Bh<\/p>\n<p>Where r is the radius of the base and h is the height of the cylinder.<\/p>\n<p>The following examples will help to illustrate how to use these formulas.<\/p>\n<p>Example 1<\/p>\n<p>Find the volume of the cylinder with a radius of 5 cm and a height of 10 cm.<\/p>\n<p>Volume = \u03c0r2h<\/p>\n<p>Volume = \u03c0(5 cm)2(10 cm)<\/p>\n<p>Volume = \u03c0(25 cm2)<\/p>\n<p>Volume = 250 cm3<\/p>\n<p>Example 2<\/p>\n<p>Find the volume of the cylinder with a radius of 10 cm and a height of 8 cm.<\/p>\n<p>Volume = \u03c0r2h<\/p>\n<p>Volume = \u03c0(10 cm)2(8 cm)<\/p>\n<p>Volume = \u03c0(100 cm2)<\/p>\n<p>Volume = 1000 cm3<\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Related Information: <\/strong><\/span><\/p>\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/surface-area-formulas\">Surface Area Formulas<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/equilateral-triangle-formula\">Equilateral Triangle Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/perimeter-of-a-parallelogram-formula\/\"><strong>Perimeter of a Parallelogram Formula<\/strong><\/a><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/radius-formula\">Radius Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/trapezoid-formula\">Trapezoid formula<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/diagonal-of-a-cube-formula\">Diagonal of a Cube Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/parallelogram-formula\">Parallelogram Formula<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/percentage-increase-formula\">Percentage Increase Formula<\/a><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Total Surface Area of a Cylinder: Let us carry out a small activity. Take a ring. We know that ring [&hellip;]<\/p>\n","protected":false},"author":31,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Total surface area","_yoast_wpseo_title":"Total Surface Area of Cylinder, Volume of a Cylinder Formulas, Derivations","_yoast_wpseo_metadesc":"total surface area of a cylinder: A = 2\u03c0r\u00b2 + \u03c0rh. The formulas for the volume of a cylinder are:Volume = \u03c0r2h at Infinitylearn.com.","custom_permalink":"total-surface-area\/total-surface-area-of-cylinder-volume-of-a-cylinder-formulas-examples\/"},"categories":[55,92,93,13],"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>Total Surface Area of Cylinder, Volume of a Cylinder Formulas, Derivations<\/title>\n<meta name=\"description\" content=\"total surface area of a cylinder: A = 2\u03c0r\u00b2 + \u03c0rh. 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