{"id":155248,"date":"2022-03-26T00:26:05","date_gmt":"2022-03-25T18:56:05","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/volume-of-hemisphere\/"},"modified":"2024-01-20T15:06:11","modified_gmt":"2024-01-20T09:36:11","slug":"volume-of-hemisphere","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/","title":{"rendered":"Volume of Hemisphere"},"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\/maths\/volume-of-hemisphere\/#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-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#Volume_of_Solid_Hemisphere\" title=\"Volume of Solid Hemisphere\">Volume of Solid 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\/maths\/volume-of-hemisphere\/#Volume_of_Hollow_Hemisphere\" title=\"Volume of Hollow Hemisphere\">Volume of Hollow 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\/maths\/volume-of-hemisphere\/#Volume_of_Hemisphere_Formula\" title=\"Volume of Hemisphere Formula\">Volume 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\/maths\/volume-of-hemisphere\/#Volume_of_Hemisphere_Formula_Equation\" title=\"Volume of Hemisphere Formula Equation\">Volume of Hemisphere Formula Equation<\/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\/maths\/volume-of-hemisphere\/#How_to_Calculate_the_Volume_of_the_Hemisphere\" title=\"How to Calculate the Volume of the Hemisphere?\">How to Calculate the Volume of the Hemisphere?<\/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\/maths\/volume-of-hemisphere\/#Volume_of_the_Hemisphere_Solved_example\" title=\"Volume of the Hemisphere: Solved example\">Volume of the Hemisphere: Solved example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#More_about_Hemisphere\" title=\"More about Hemisphere\">More about Hemisphere<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#Surface_Area_of_Hemisphere\" title=\"Surface Area of Hemisphere\">Surface Area of Hemisphere<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#Curved_Surface_Area_of_Hemisphere_Formula\" title=\"Curved Surface Area of Hemisphere Formula\">Curved Surface Area of Hemisphere Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#Total_Surface_Area_of_Hemisphere_Formula\" title=\"Total Surface Area of Hemisphere Formula\">Total Surface Area of Hemisphere Formula<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#The_Surface_Area_Of_A_Hemisphere_Solved_Example\" title=\"The Surface Area Of A Hemisphere: Solved Example\">The Surface Area Of A Hemisphere: Solved Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#FAQs_on_Volume_of_Hemisphere\" title=\"FAQs on Volume of Hemisphere\">FAQs on Volume of Hemisphere<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#What_is_a_hemisphere_and_how_is_it_related_to_a_sphere\" title=\"What is a hemisphere, and how is it related to a sphere?\">What is a hemisphere, and how is it related to a sphere?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#How_is_the_volume_of_a_hemisphere_calculated_and_what_is_the_formula\" title=\"How is the volume of a hemisphere calculated, and what is the formula?\">How is the volume of a hemisphere calculated, and what is the formula?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/volume-of-hemisphere\/#How_can_I_calculate_the_volume_of_a_hemisphere_if_the_radius_is_known\" title=\"How can I calculate the volume of a hemisphere if the radius is known?\">How can I calculate the volume of a hemisphere if the radius is known?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>In geometry, we have a huge number of shapes. It might be two-dimensional or three-dimensional. We know that the 3D shapes are not drawn on the plane. Cube, cuboid, sphere, cone and more are great examples of 3D shapes. Shoe boxes, dusters, balls, and more are the real-life example of the 3D shapes around us.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Hemisphere\"><\/span>What is a Hemisphere?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <strong>hemisphere<\/strong> is formed when a plane intersects a sphere, dividing it into two equal parts. A sphere, defined as a set of equidistant points in three dimensions, generates precisely two hemispheres. Notably, the Earth exhibits this concept with its division into the Southern and Northern Hemisphere. Essentially, a hemisphere is half of a sphere, emphasising these three-dimensional structures&#8217; symmetrical and divided nature.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-704906\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/3-copy-19.jpg\" alt=\"Volume of Hemisphere\" width=\"521\" height=\"310\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/3-copy-19.jpg 521w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/3-copy-19-300x179.jpg 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_Solid_Hemisphere\"><\/span>Volume of Solid Hemisphere<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <strong>solid hemisphere<\/strong> is an object in the shape of exactly half a sphere. It is basically filled up with the material it is composed of. The volume of the solid hemisphere is easy to get. It uses exactly the same method used to derive the volume of the hemisphere.<\/p>\n<p><strong>Volume of Solid Hemisphere = (\u2154)r<sup>3<\/sup> cubic units <\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_Hollow_Hemisphere\"><\/span>Volume of Hollow Hemisphere<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <strong>hollow hemisphere<\/strong> is an object in the shape of exactly half a sphere, but it has two diameters for the circular base. The first diameter is for the inner side of the circular base, and the second is for the outer circle.<\/p>\n<p><strong>Volume of hollow hemisphere formula = \u2154 \ud835\udf0br<sup>3<\/sup> \u2013 \u2154 \ud835\udf0br<sup>3<\/sup> <\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_Hemisphere_Formula\"><\/span>Volume of Hemisphere Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The <strong>volume of the hemisphere<\/strong> can be derived directly by using a simple formula. The Volume of the Hemisphere formula is given below.<\/p>\n<p><strong>Volume of Hemisphere = (\u2154)r<sup>3<\/sup> cubic units <\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_Hemisphere_Formula_Equation\"><\/span>Volume of Hemisphere Formula Equation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>When the radius of the hemisphere, r,  is centred at the origin, it is given by<\/p>\n<p>x<sup>2<\/sup> + y<sup>2<\/sup> + z<sup>2<\/sup> = r<sup>2<\/sup><\/p>\n<p>The Cartesian of this hemisphere at the point (x<sub>0<\/sub>, y<sub>0<\/sub>, z<sub>0<\/sub>) is written as<\/p>\n<p>(x-x<sub>0<\/sub>)<sup>2<\/sup> + (y- y<sub>0<\/sub>)<sup>2<\/sup> + (z- z<sub>0<\/sub>)<sup>2<\/sup> = r<sup>2<\/sup><\/p>\n<p>Therefore, the spherical coordinates of the hemisphere are given as:<\/p>\n<p>x = r cos \u03b8 sin \u2205<\/p>\n<p>y = r sin \u03b8 cos \u2205<\/p>\n<p>z = r cos \u2205<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Calculate_the_Volume_of_the_Hemisphere\"><\/span>How to Calculate the Volume of the Hemisphere?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The Volume of the Hemisphere is calculated using the formula,<\/p>\n<p><strong>Volume of Hemisphere formula<\/strong> = (\u2154)r<sup>3<\/sup> cubic units<\/p>\n<p>Therefore, now let&#8217;s find the Volume of a hemisphere whose radius is 3cm.<\/p>\n<p>Now, let&#8217;s follow the steps given below:<\/p>\n<p><strong>Step 1: <\/strong>Note the radius of the given hemispheres. In this case, the radius assumed is 3 cm. Therefore, the Volume of the Hemisphere = (\u2154)r<sup>3<\/sup> cubic units.<\/p>\n<p><strong>Step 2 : <\/strong>Substitute the value of radius in the formula,<\/p>\n<p>Volume of the Hemisphere = (\u2154) 3<sup>3<\/sup> cubic cm<\/p>\n<p><strong>Step 3 : <\/strong>Now, solve the values. Hence we get,<\/p>\n<p>Volume of the Hemisphere = 18 cubic cm<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Volume_of_the_Hemisphere_Solved_example\"><\/span>Volume of the Hemisphere: Solved example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1. Find the volume of the hemisphere if the radius is 3 cm. <\/strong><\/p>\n<p><strong>Ans.<\/strong> given radius = 3cm<\/p>\n<p>Volume of hemisphere = (\u2154)r\u00b3<\/p>\n<p>Therefore volume of given hemisphere is,<\/p>\n<p>Volume of hemisphere =  (\u2154) * 3<sup>3<\/sup> = 2 * 9 =18 cm cube<\/p>\n<p><strong>Ques 2. Find the volume of the hemisphere if the radius is 30 cm. <\/strong><\/p>\n<p><strong>Ans.<\/strong> Given radius = 30 cm<\/p>\n<p>Volume of hemisphere = (\u2154)r\u00b3<\/p>\n<p>Therefore volume of given hemisphere is equal to (\u2154) * 303 = 2 * 9000 =18000 cm cube<\/p>\n<h2><span class=\"ez-toc-section\" id=\"More_about_Hemisphere\"><\/span>More about Hemisphere<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Curved Surface Area<\/strong><\/p>\n<p>A hemisphere possesses only one curved surface area.<\/p>\n<p><strong>Volume Formula<\/strong><\/p>\n<p>The volume of a hemisphere is given by the formula V = (2\/3)\u03c0r\u00b3, where &#8220;r&#8221; is the radius, and \u03c0 is approximately 3.14.<\/p>\n<p><strong>Surface Areas<\/strong><\/p>\n<p>A hemisphere has two surface areas: curved surface area (CSA) and total surface area (TSA).<\/p>\n<p>The curved surface area represents the region covered by the curved surface.<\/p>\n<p>The total surface area is the sum of the curved surface area and the base area.<\/p>\n<p><strong>Measurement Unit<\/strong><\/p>\n<p>Since volume involves three dimensions (length, width, and height), the volume of a hemisphere is measured in cubic units.<\/p>\n<p><strong>Spherical Coordinates<\/strong><\/p>\n<p>The spherical coordinates of a hemisphere are represented as (\u03c1, \u03c6, \u03b8), where \u03c1 is the radial distance, \u03c6 is the polar angle, and \u03b8 is the azimuthal angle.<\/p>\n<p><strong>Hemisphere Equation<\/strong><\/p>\n<p>When the hemisphere&#8217;s radius &#8220;R&#8221; is centred at the origin, the equation is given by x\u00b2 + y\u00b2 + z\u00b2 = R\u00b2.<\/p>\n<p><strong>Cartesian Form<\/strong><\/p>\n<p>The Cartesian form or equation of a hemisphere with the radius &#8220;R&#8221; at the point (x\u2080, y\u2080, z\u2080) is x\u00b2 + y\u00b2 + z\u00b2 = R\u00b2.<\/p>\n<p><strong>Spherical Coordinates (Alternative)<\/strong><\/p>\n<p>The spherical coordinates of the hemisphere are expressed as (R, \u03c0\/2, 0) in terms of radial distance, polar angle, and azimuthal angle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Surface_Area_of_Hemisphere\"><\/span>Surface Area of Hemisphere<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The <strong><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-hemisphere-formula\/\">Surface Area of Hemisphere<\/a><\/strong> can be easily calculated. Now, we have two kinds of surface area.<\/p>\n<ol>\n<li>Curved Surface Area<\/li>\n<li>Total Surface Area<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Curved_Surface_Area_of_Hemisphere_Formula\"><\/span>Curved Surface Area of Hemisphere Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>CSA of hemisphere<\/strong>= \u00bd Surface Area of the Sphere<\/p>\n<p>CSA = \u00bd 4 \u03c0r\u00b2<\/p>\n<p>CSA  = 2\u03c0r\u00b2<\/p>\n<p>Therefore, the Curved Surface Area of a Hemisphere is 2\u03c0r\u00b2<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Total_Surface_Area_of_Hemisphere_Formula\"><\/span>Total Surface Area of Hemisphere Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Total Surface Area of Hemisphere Formula<\/strong> is the sum of CSA and base area.<\/p>\n<p>Therefore, TSA = 2\u03c0r\u00b2 + \u03c0r\u00b2<\/p>\n<p>TSA = 3\u03c0r\u00b2<\/p>\n<p>Therefore, the Total Surface Area of the Hemisphere is equal to 3\u03c0r\u00b2<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Surface_Area_Of_A_Hemisphere_Solved_Example\"><\/span>The Surface Area Of A Hemisphere: Solved Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques. Find the surface area of a hemisphere whose radius is 7 cm?<\/strong><\/p>\n<p><strong>Ans.<\/strong> Given: Radius = 7 cm<\/p>\n<p>as we know, we have two kinds of surface area.<\/p>\n<ol>\n<li>Curved Surface Area<\/li>\n<li>Total Surface Area<\/li>\n<\/ol>\n<p>Therefore, The curved surface area = 2\u03c0r<sup>2<\/sup> unit square<\/p>\n<p>and<\/p>\n<p>The total surface area = 3\u03c0r<sup>2<\/sup> unit square<\/p>\n<p>So,<\/p>\n<p>(i) CSA of the hemisphere= 2 \u00d7 \u03c0 \u00d7 7 \u00d7 7<\/p>\n<p>CSA = 3.14 \u00d7 2 \u00d7 49<\/p>\n<p>CSA = 308 cm<sup>2<\/sup><\/p>\n<p>(ii) TSA of the hemisphere = 3 \u00d7 \u03c0 \u00d7 7 \u00d7 7<\/p>\n<p>TSA = 3.14 \u00d7 3 \u00d7 49<\/p>\n<p>TSA = 462 cm<sup>2<\/sup><\/p>\n<p>Therefore, the curved surface area and the total surface area of the hemisphere are 308 and 462 cm2 , respectively.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Volume_of_Hemisphere\"><\/span>FAQs on Volume of Hemisphere<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<h3><span class=\"ez-toc-section\" id=\"What_is_a_hemisphere_and_how_is_it_related_to_a_sphere\"><\/span>What is a hemisphere, and how is it related to a sphere?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA hemisphere is formed when a plane intersects a sphere, dividing it into two equal parts. It represents half of a sphere, and examples of hemispheres from our surroundings include the Northern and Southern Hemispheres of the Earth\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<h3><span class=\"ez-toc-section\" id=\"How_is_the_volume_of_a_hemisphere_calculated_and_what_is_the_formula\"><\/span>How is the volume of a hemisphere calculated, and what is the formula?<span class=\"ez-toc-section-end\"><\/span><\/h3>\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 is calculated using the formula: Volume = (\u2154)r\u00b3 cubic units, where 'r' is the radius 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<h3><span class=\"ez-toc-section\" id=\"How_can_I_calculate_the_volume_of_a_hemisphere_if_the_radius_is_known\"><\/span>How can I calculate the volume of a hemisphere if the radius is known?<span class=\"ez-toc-section-end\"><\/span><\/h3>\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 volume of a hemisphere, use the formula: Volume = (\u2154)r\u00b3 cubic units. For example, if the radius is 3 cm, substitute it into the formula to find the volume.\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 a hemisphere, and how is it related to a sphere?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A hemisphere is formed when a plane intersects a sphere, dividing it into two equal parts. It represents half of a sphere, and examples of hemispheres from our surroundings include the Northern and Southern Hemispheres of the Earth\"\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 is the volume of a hemisphere calculated, and what is the formula?\",\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 is calculated using the formula: Volume = (\u2154)r\u00b3 cubic units, where 'r' is the radius 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\": \"How can I calculate the volume of a hemisphere if the radius is known?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To calculate the volume of a hemisphere, use the formula: Volume = (\u2154)r\u00b3 cubic units. For example, if the radius is 3 cm, substitute it into the formula to find the volume.\"\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>In geometry, we have a huge number of shapes. It might be two-dimensional or three-dimensional. We know that the 3D [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Volume of Hemisphere","_yoast_wpseo_title":"Volume of Hemisphere: Solid, Hollow, CSA & TSA of Hemisphere","_yoast_wpseo_metadesc":"A sphere, defined as a set of equidistant points in three dimensions, generates precisely two hemispheres,","custom_permalink":"maths\/volume-of-hemisphere\/"},"categories":[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>Volume of Hemisphere: Solid, Hollow, CSA &amp; TSA of Hemisphere<\/title>\n<meta name=\"description\" content=\"A sphere, defined as a set of equidistant points in three dimensions, generates precisely two hemispheres,\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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