{"id":166672,"date":"2024-04-09T12:25:01","date_gmt":"2024-04-09T06:55:01","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166672"},"modified":"2024-04-09T12:25:03","modified_gmt":"2024-04-09T06:55:03","slug":"a-sold-cylinder-of-diameter-18-cm-and-height-30-cm-is-melted-and-recast-into-toys-with-the-shape-of-a-right-circular","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-sold-cylinder-of-diameter-18-cm-and-height-30-cm-is-melted-and-recast-into-toys-with-the-shape-of-a-right-circular\/","title":{"rendered":"A sold cylinder of diameter 18 cm and height 30 cm is melted and recast into toys with the shape of a right circular"},"content":{"rendered":"\n<p>A sold cylinder of diameter 18 cm and height 30 cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 4.5 cm. If the height of the toy is 18cm, find the number of toys so formed?<\/p>\n\n\n\n<p>(a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 12<\/p>\n\n\n\n<p>(b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 14<\/p>\n\n\n\n<p>(c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 15<\/p>\n\n\n\n<p><strong>(d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 16<\/strong><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"640\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-1024x640.png\" alt=\"\" class=\"wp-image-166673\" style=\"width:280px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-1024x640.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-300x188.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-768x480.png 768w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-1536x960.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-2048x1280.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-240x150.png 240w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-100x63.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-560x350.png 560w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179-788x492.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-179.png 328w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A sold cylinder of diameter 18 cm and height 30 cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 4.5 cm. If the height of the toy is 18cm, find the number of toys so formed? (a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 12 (b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 14 (c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 15 (d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166674,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-166672","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\/166672","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=166672"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166672\/revisions"}],"predecessor-version":[{"id":166675,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166672\/revisions\/166675"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166674"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166672"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166672"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166672"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=166672"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}