{"id":7818,"date":"2021-11-08T17:21:02","date_gmt":"2021-11-08T11:51:02","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7818"},"modified":"2021-11-08T17:45:42","modified_gmt":"2021-11-08T12:15:42","slug":"if-the-lateral-surface-of-a-cylinder-is-94-2-cm2-and-its-height-is-5-cm-then-find-radius-of-its-base-and-its-volume","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-the-lateral-surface-of-a-cylinder-is-94-2-cm2-and-its-height-is-5-cm-then-find-radius-of-its-base-and-its-volume\/","title":{"rendered":"If the lateral surface of a cylinder is 94.2 \\(cm^2\\)\u00a0and its height is 5 cm, then find radius of its base and its volume."},"content":{"rendered":"

Solution :<\/h2>\n

Lateral or Curved Surface Area of Cylinder = \\(2 \\pi rh\\)<\/p>\n

\\(\\implies\\) \\(2 \\pi rh\\) = 94.2<\/p>\n

\\(\\implies\\) \\(2 \\pi r \\times 5\\) = 94.2\u00a0 \\(\\implies\\) r = 3 cm<\/p>\n

Given, height = 5 cm<\/p>\n

Volume of Cylinder = \\(\\pi r^2 h\\)<\/p>\n

= \\(\\pi \\times 9 \\times 5\\) = \\(3.14 \\times 9 \\times 5\\) = 141.2 \\(cm^3\\)<\/p>\n

\n

Similar Questions<\/h3>\n

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 \\(cm^3\\)\u00a0of wood has a mass of 0.6 g.<\/a><\/p>\n

The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm.How many litres of water can it hold?<\/a><\/p>\n

What is the Formula for Volume of Cylinder ?<\/a><\/p>\n

What is the Formula for Surface Area of Cylinder ?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Lateral or Curved Surface Area of Cylinder = \\(2 \\pi rh\\) \\(\\implies\\) \\(2 \\pi rh\\) = 94.2 \\(\\implies\\) \\(2 \\pi r \\times 5\\) = 94.2\u00a0 \\(\\implies\\) r = 3 cm Given, height = 5 cm Volume of Cylinder = \\(\\pi r^2 h\\) = \\(\\pi \\times 9 \\times 5\\) = \\(3.14 \\times 9 \\times …<\/p>\n

If the lateral surface of a cylinder is 94.2 \\(cm^2\\)\u00a0and its height is 5 cm, then find radius of its base and its volume.<\/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":[64,43],"tags":[],"yoast_head":"\nIf the lateral surface of a cylinder is 94.2 \\(cm^2\\)\u00a0and its height is 5 cm, then find radius of its base and its volume.<\/title>\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\/if-the-lateral-surface-of-a-cylinder-is-94-2-cm2-and-its-height-is-5-cm-then-find-radius-of-its-base-and-its-volume\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the lateral surface of a cylinder is 94.2 \\(cm^2\\)\u00a0and its height is 5 cm, then find radius of its base and its volume.\" \/>\n<meta property=\"og:description\" content=\"Solution : Lateral or Curved Surface Area of Cylinder = (2 pi rh) (implies) (2 pi rh) = 94.2 (implies) (2 pi r times 5) = 94.2\u00a0 (implies) r = 3 cm Given, height = 5 cm Volume of Cylinder = (pi r^2 h) = (pi times 9 times 5) = (3.14 times 9 times … If the lateral surface of a cylinder is 94.2 (cm^2)\u00a0and its height is 5 cm, then find radius of its base and its volume. 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