{"id":163374,"date":"2024-03-04T12:31:50","date_gmt":"2024-03-04T07:01:50","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163374"},"modified":"2024-03-04T12:31:52","modified_gmt":"2024-03-04T07:01:52","slug":"ratio-of-the-radius-of-the-cone-and-the-height-of-the-cone-is-79-respectively-and-the-radius-of-the-cone-is-50","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/ratio-of-the-radius-of-the-cone-and-the-height-of-the-cone-is-79-respectively-and-the-radius-of-the-cone-is-50\/","title":{"rendered":"Ratio of the radius of the cone and the height of the cone is 7:9 respectively and the radius of the cone is 50%"},"content":{"rendered":"\n<p>Ratio of the radius of the cone and the height of the cone is 7:9 respectively and the radius of the cone is 50% of the radius of the semicircle. If the circumference of the semicircle is 72 cm, then find the volume of the cone?<\/p>\n\n\n\n<p>A. 616 cm3<\/p>\n\n\n\n<p>B. 1232 cm3<\/p>\n\n\n\n<p><strong>C. 462 cm3<\/strong><\/p>\n\n\n\n<p>D. 1848 cm3<\/p>\n\n\n\n<p>E. None of these<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Circumference of the semicircle=72 cm<\/p>\n\n\n\n<p>22\/7*r+2r=72<\/p>\n\n\n\n<p>r=72*7\/36<\/p>\n\n\n\n<p>r=14 cm<\/p>\n\n\n\n<p>Radius of the cone=14\/2=7 cm<\/p>\n\n\n\n<p>Height of the cone=7*9\/7=9 cm<\/p>\n\n\n\n<p>Volume of the cone=1\/3*22\/7*7*7*9<\/p>\n\n\n\n<p>=462 cm3<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ratio of the radius of the cone and the height of the cone is 7:9 respectively and the radius of the cone is 50% of the radius of the semicircle. If the circumference of the semicircle is 72 cm, then find the volume of the cone? A. 616 cm3 B. 1232 cm3 C. 462 cm3 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":163375,"comment_status":"open","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-4)","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-4)","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-4)","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":[5138],"tags":[5139],"class_list":["post-163374","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163374","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=163374"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163374\/revisions"}],"predecessor-version":[{"id":163376,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163374\/revisions\/163376"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163375"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163374"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163374"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}