{"id":166955,"date":"2024-04-22T14:44:02","date_gmt":"2024-04-22T09:14:02","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166955"},"modified":"2024-04-22T14:44:03","modified_gmt":"2024-04-22T09:14:03","slug":"a-metallic-wire-of-uniform-cross-section-is-melted-to-form-28-small-solid-spheres-of-radius-12-6-cm-each","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-metallic-wire-of-uniform-cross-section-is-melted-to-form-28-small-solid-spheres-of-radius-12-6-cm-each\/","title":{"rendered":"A metallic wire of uniform cross-section is melted to form 28 small solid spheres of radius 12.6 cm each"},"content":{"rendered":"\n<p>A metallic wire of uniform cross-section is melted to form 28 small solid spheres of radius 12.6 cm each. If the radius of wire is 1\/7&nbsp;&nbsp; time more than the radius of each sphere, what is the length of the wire?<\/p>\n\n\n\n<p>(a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 260 cm<\/p>\n\n\n\n<p><strong>(b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 360 cm<\/strong><\/p>\n\n\n\n<p>(c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 326 cm<\/p>\n\n\n\n<p>(d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 390 cm<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"303\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-1024x303.png\" alt=\"\" class=\"wp-image-166959\" style=\"width:354px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-1024x303.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-300x89.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-767x227.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-1536x455.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-2048x606.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-507x150.png 507w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-100x30.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-1182x350.png 1182w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253-788x233.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-253.png 500w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A metallic wire of uniform cross-section is melted to form 28 small solid spheres of radius 12.6 cm each. If the radius of wire is 1\/7&nbsp;&nbsp; time more than the radius of each sphere, what is the length of the wire? (a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 260 cm (b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 360 cm (c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 326 cm (d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 390 cm Sol:<\/p>\n","protected":false},"author":419,"featured_media":166962,"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-166955","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\/166955","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=166955"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166955\/revisions"}],"predecessor-version":[{"id":166963,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166955\/revisions\/166963"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166962"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166955"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166955"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}