{"id":8866,"date":"2021-12-05T21:16:26","date_gmt":"2021-12-05T15:46:26","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8866"},"modified":"2022-01-16T17:11:35","modified_gmt":"2022-01-16T11:41:35","slug":"volume-of-sphere-and-hemisphere","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/volume-of-sphere-and-hemisphere\/","title":{"rendered":"Volume of Sphere and Hemisphere – Formula and Examples"},"content":{"rendered":"

Here you will learn what is the formula for volume of sphere and hemisphere with examples based on it.<\/p>\n

Let’s begin – <\/p>\n

Formula for Volume of Sphere and Hemisphere<\/h2>\n

(i) Volume of Sphere Formula<\/strong><\/h4>\n
\n

Volume of sphere = \\({4\\over 3}\\pi r^3\\)<\/p>\n

where r is the radius of sphere.<\/p>\n<\/blockquote>\n

(ii) Volume of Hemisphere Formula<\/strong><\/h4>\n
\n

Volume of Hemisphere = \\({2\\over 3}\\pi r^3\\)<\/p>\n

where r is the radius of hemisphere.<\/p>\n<\/blockquote>\n

Example<\/span><\/strong> : Find the volume of a sphere of radius 11.2 cm.<\/span> <\/p>\n

Solution<\/span><\/strong> : Here, radius = 11.2 cm<\/p>\n

Volume of Sphere = \\({4\\over 3}\\pi r^3\\)<\/p>\n

= \\({4\\over 3} \\times {22\\over 7} \\times (11.3)^3\\) = 5888.72 \\(cm^3\\)<\/p>\n

Example<\/span><\/strong> :  A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?<\/span> <\/p>\n

Solution<\/span><\/strong> : Here, radius = 3.5 cm<\/p>\n

 The volume of water the bowl can contain <\/span>= \\({2\\over 3}\\pi r^3\\)<\/p>\n

= \\({2\\over 3} \\times {22\\over 7} \\times (3.5)^3\\) = 89.8 \\(cm^3\\)<\/p>\n

Example<\/span><\/strong> :  A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per \\(cm^3\\)<\/span>, find the mass of the shot-putt.<\/span> <\/p>\n

Solution<\/span><\/strong> : Since the shot-putt is a solid sphere made of metal and its mass is equal to the product of its volume and density, we need to find the volume of the sphere.<\/span> <\/p>\n

Now, Volume of the Sphere <\/span>= \\({4\\over 3}\\pi r^3\\)<\/p>\n

= \\({4\\over 3} \\times {22\\over 7} \\times (4.9)^3\\) = 493 \\(cm^3\\)<\/p>\n

Further mass of 1 \\(cm^3\\) of metal is 7.8 g.<\/p>\n

Therefore, mass of the shot-putt = 7.8 \\(\\times\\) 493 = 3845.44 gm = 3.85 kg<\/p>\n\n\n

\n
Previous – Surface Area of Hemisphere \u2013 Formula & Examples<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the formula for volume of sphere and hemisphere with examples based on it. Let’s begin –  Formula for Volume of Sphere and Hemisphere (i) Volume of Sphere Formula Volume of sphere = \\({4\\over 3}\\pi r^3\\) where r is the radius of sphere. (ii) Volume of Hemisphere Formula Volume of …<\/p>\n

Volume of Sphere and Hemisphere – Formula and Examples<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[63],"tags":[702,701],"yoast_head":"\nVolume of Sphere and Hemisphere - Formula and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the formula for volume of sphere and hemisphere with examples based on it.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/volume-of-sphere-and-hemisphere\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Volume of Sphere and Hemisphere - 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