The formula for finding the volume of a cylinder is:V=\u03c0r2hV = \\pi r^2 hV=\u03c0r2h<\/p>\n\n\n\n
Let’s go through the options:<\/p>\n\n\n\n
- \n
- A = (d)(h):<\/strong> This is incorrect. The formula for the area of a circle is A=\u03c0r2A = \\pi r^2A=\u03c0r2, and this formula doesn\u2019t account for the cylinder\u2019s volume. Also, the term \u201cd\u201d is not a recognized variable for calculating volume.<\/li>\n\n\n\n
- V = B(h):<\/strong> This is a correct formula, where BBB represents the area of the base of the cylinder (which is a circle). The area of a circle is B=\u03c0r2B = \\pi r^2B=\u03c0r2, so when you multiply this by the height hhh, it gives the volume:<\/li>\n<\/ol>\n\n\n\n
V=\u03c0r2hV = \\pi r^2 hV=\u03c0r2h<\/p>\n\n\n\n
This is another valid way to express the formula, where the area of the base B=\u03c0r2B = \\pi r^2B=\u03c0r2.<\/p>\n\n\n\n
- \n
- V = (l)(w)(h):<\/strong> This formula is for the volume of a rectangular prism, not a cylinder. The cylinder has a circular base, not a rectangular one, so this formula doesn\u2019t apply here.<\/li>\n\n\n\n
- V = 2(r)(h):<\/strong> This is incorrect. There\u2019s no factor of 2 in the formula for the volume of a cylinder. The volume depends on the area of the circular base, which involves r2r^2r2, not rrr alone.<\/li>\n\n\n\n
- V = \u03c0r2h\\pi r^2 h\u03c0r2h:<\/strong> This is the correct formula for the volume of a cylinder. It uses the area of the circular base \u03c0r2\\pi r^2\u03c0r2 and multiplies it by the height hhh.<\/li>\n<\/ol>\n\n\n\n
So, the correct formula for the volume of a cylinder is V = \u03c0r2h\\pi r^2 h\u03c0r2h<\/strong>, and the other option that can also be used is V = B(h)<\/strong>, where B=\u03c0r2B = \\pi r^2B=\u03c0r2.<\/p>\n\n\n\n
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<\/figure>\n","protected":false},"excerpt":{"rendered":"A cylinder. The radius is labeled r and the height is labeled h. Which formula can be used to find the volume of the cylinder? Check all that apply. A = ( d )( h ) V = B( h ) V = ( l )( w )( h ) V = 2( r )( […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-247660","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247660","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=247660"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247660\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=247660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=247660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=247660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- V = 2(r)(h):<\/strong> This is incorrect. There\u2019s no factor of 2 in the formula for the volume of a cylinder. The volume depends on the area of the circular base, which involves r2r^2r2, not rrr alone.<\/li>\n\n\n\n
- V = B(h):<\/strong> This is a correct formula, where BBB represents the area of the base of the cylinder (which is a circle). The area of a circle is B=\u03c0r2B = \\pi r^2B=\u03c0r2, so when you multiply this by the height hhh, it gives the volume:<\/li>\n<\/ol>\n\n\n\n