[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297455-105":59,"doc-detail-297455-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","surface-areas-and-volumes-exercise-no-121-multiple-choice-questions","Surface Areas and Volumes - Exercise No. 12.1 - Multiple Choice Questions","","Chapter 12 Exercise No. 12.1 presents multiple-choice questions on combining 3D shapes and calculating volumes. Problems include identifying composite solids such as a sharpened pencil, surahi, plumbline, glass frustum, gilli-danda shape, and a shuttle cock, plus determining missing dimensions like the height of a cone formed by melting a spherical shell and the radius of a sphere molded from an iron cuboid. It also includes a brick-counting volume estimate and a sphere diameter calculation from a melted cylinder.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/surface-areas-and-volumes-exercise-no-121-multiple-choice-questions/297455/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/surface-areas-and-volumes-exercise-no-121-multiple-choice-questions/297455.png","ImageObject",300,407,{"name":92,"@type":93},"Bintang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the main skill tested in Exercise No. 12.1?","Question",{"text":113,"@type":114},"Recognizing composite 3D solids and using volume relationships to find missing dimensions or counts.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the shape of a cylindrical pencil sharpened at one edge modeled?",{"text":118,"@type":114},"It is treated as a cone combined with a cylinder.",{"name":120,"@type":111,"acceptedAnswer":121},"What method is used to find the height of a cone recast from a spherical shell?",{"text":122,"@type":114},"Set the cone’s volume equal to the spherical shell’s volume after melting, using radii from the given diameters.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},297455,1789744713,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Chapter-12 Surface Areas and Volumes  \nExercise No. 12.1  \nMultiple Choice Questions:  \nChoose the correct answer from the given four options:  \n1. A cylindrical pencil sharpened at one edge is the combination of  \n(A) a cone and a cylinder  \n(B) frustum of a cone and a cylinder  \n(C) a hemisphere and a cylinder  \n(D) two cylinders.  \nSolution:  \n(A) a cone and a cylinder  \nThe Nib ofa sharpened pencil = conical shape And,  \nThe rest ofthe part ofa sharpened pencil = cylindrical  \nTherefore, a pencil is a combination of cylinder and a cone.  \n2. A surahi is the combination of  \n(A) a sphere and a cylinder  \n(B) a hemisphere and a cylinder  \n(C) two hemispheres  \n(D) a cylinder and a cone.  \nSolution:  \n(A) a sphere and a cylinder  \nThe top part of surahi = cylindrical shape Bottom part of surahi = spherical shape  \nTherefore, surahi is a combination of Sphere and a cylinder.  \n3. A plumbline (sahul) is the combination of  \n(A) a cone and a cylinder  \n(B) a hemisphere and a cone  \n(C) frustum of a cone and a cylinder  \n(D) sphere and cylinder  \nSolution:  \n(B) a hemisphere and a cone  \nThe upper part of plumb line = hemispherical, The bottom part of plumb line = conical  \nTherefore, it is a combination of hemisphere and cone.  \n4. The shape of a glass (tumbler) is usually in the form of  \n(A) a cone  \n(B) frustum of a cone  \n(C) a cylinder  \n(D) a sphere  \nSolution:  \n(B) frustum ofa cone  \nThe shape of glass is a frustum or specifically, an inverted frustum.  \n5. The shape of a gilli, in the gilli-danda game, is a combination of  \n(A) two cylinders  \n(B) a cone and a cylinder  \n(C) two cones and a cylinder  \n(D) two cylinders and a cone  \nSolution:  \n(C) two cones and a cylinder  \nThe left and right part of a gilli = conical The central part of a gilli = cylindrical  \nTherefore, it is a combination of a cylinder and two cones.  \n6. A shuttle cock used for playing badminton has the shape of the combination of  \n(A) a cylinder and a sphere  \n(B) a cylinder and a hemisphere  \n(C) a sphere and a cone  \n(D) frustum of a cone and a hemisphere  \nSolution:  \n(D) frustum ofa cone and a hemisphere  \nThe cork of a shuttle = hemispherical shapes  \nThe upper part ofa shuttle = shape offrustum ofa cone.  \nTherefore, it is a combination offrustum ofa cone and a hemisphere.  \n7. A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called  \n(A) a frustum of a cone  \n(B) cone  \n(C) cylinder  \n(D) sphere Solution:  \n(A) a frustum ofa cone  \nWhen a cone is divided into two parts by a plane through any point on its axis parallel to its base, the upper and lower parts obtained are cone and a frustum respectively.  \n8. A hollow cube of internal edge 22cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 18~~ ~~ space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is (A) 142296  \n(B) 142396  \n(C) 142496  \n(D) 142596  \nSolution:  \n(A) 142296  \nAccording to the question,  \nVolume of cube =223=10648cm3  \nVolume of cube that remains unfilled =1/8×10648  \n=1331cm3  \nVolume occupied by spherical marbles =10648−1331  \n= 9317cm3  \nRadius of the spherical marble = 0.5/2  \n=0.25cm  \n=1/4cm  \nVolume of 1 spherical marble = 43 × ~~ ~~227 × ( ~~ ~~14 )3  \n11 3  \n=  168 cm  \nNumbers of spherical marbles, n = 9317 × ( 11618 )  \n=142296  \n9. A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form a cone of base diameter 8cm. The height of the cone is  \n(A) 12cm  \n(B) 14cm  \n(C) 15cm  \n(D) 18cm  \nSolution:  \nVolume of spherical shell = Volume of cone recast by melting  \nFor Spherical Shell, Internal diameter, d 1 = 4 cm  \nInternal radius, r 1 = 2 cm  \nExternal diameter, d2 = 8 cm  \nExternal radius, r2 = 4 cm  \nNow,  \nAs volume of spherical shell= 43 π (r23 – r13)  \nWhere r 1 and r2 are internal and exter","cbCailGT5sZf1kKS","https://ap.wps.com/l/cbCailGT5sZf1kKS","pdf",1285082,49,"English","# Chapter-12 Surface Areas and Volumes\n## Exercise No. 12.1\n## Multiple Choice Questions","[{\"question\":\"What is the main skill tested in Exercise No. 12.1?\",\"answer\":\"Recognizing composite 3D solids and using volume relationships to find missing dimensions or counts.\"},{\"question\":\"How is the shape of a cylindrical pencil sharpened at one edge modeled?\",\"answer\":\"It is treated as a cone combined with a cylinder.\"},{\"question\":\"What method is used to find the height of a cone recast from a spherical shell?\",\"answer\":\"Set the cone’s volume equal to the spherical shell’s volume after melting, using radii from the given diameters.\"}]","Surface Areas and Volumes - Exercise No. 12.1 - Multiple Choice Questions | PDF",123]