[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297514-105":59,"doc-detail-297514-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","cbse-x-mathematics-surface-area-and-volume-frustum-of-a-cone","CBSE X Mathematics - Surface Area and Volume - Frustum of a Cone","","This educational resource provides a comprehensive overview of the geometric properties of a frustum of a cone, tailored for CBSE Class X Mathematics curriculum. It defines a frustum as the remaining portion of a right circular cone after the vertex is removed by a parallel plane. The document details key mathematical formulas including slant height, volume, and both curved and total surface areas. Practical applications such as calculating the surface area of a bucket-shaped container are also presented to reinforce learning.",{"@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/cbse-x-mathematics-surface-area-and-volume-frustum-of-a-cone/297514/",{"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/cbse-x-mathematics-surface-area-and-volume-frustum-of-a-cone/297514.png","ImageObject",300,407,{"name":92,"@type":93},"Aurora","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is a frustum of a cone?","Question",{"text":113,"@type":114},"A frustum of a cone is the portion of a right circular cone that remains after the top part containing the vertex is cut off by a plane parallel to the base.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the height of a frustum defined?",{"text":118,"@type":114},"The height of the frustum is defined as the perpendicular distance between the two parallel planes that form its bases.",{"name":120,"@type":111,"acceptedAnswer":121},"What formula is used to calculate the area of the metal sheet for a bucket-shaped frustum?",{"text":122,"@type":114},"The area is calculated by summing the outer or inner curved surface area and the area of the circular bottom base, expressed as πl(r1 + r2) + πr2^2.","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},297514,1790479379,{"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":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","P a g e | 1  \nCHAPTER 10  \nSurface Area and Volume  \nFrustum of a cone:  \nIf a right circular cone is cut – off by a plane parallel to the base, then the portion left after removing the part, which contains the vertex of the cone is called the frustum of a cone as in the given figure.  \nIn other words, a frustum is the portion of a solid figure that lies between one or two parallel planes cutting it. Each plane section is the base of the frustum. The height of the frustum is the perpendicular distance between the planes of the two bases.  \nHere, we study about frustum of a cone.  \n TS_X_MAT_SURFACE AREA & VOLUME [HTTPS://BRAINBOXSCHOOL.COM/](HTTPS://BRAINBOXSCHOOL.COM/)   \nLet,  \nh = Height  \nl = Slant height  \nr 1, r2 = radii of the ends (r 1 > r2) are the frustum of a cone. Then,  \n􀀁 Volume of the frustum of the cone =   \n􀀁 Curved surface area of the frustum of the cone = l Where, l =   \n􀀁 Total surface area of the frustum of the cone =  \n, where l =   \nTS_X_MAT_SURFACE AREA & VOLUME [HTTPS://BRAINBOXSCHOOL.COM/](HTTPS://BRAINBOXSCHOOL.COM/)  \n1. Area of the ,eta; sheet used for making the bucket = Outer (or inner) curved surface area + Area of bottom = (r1 + r2 ) + r22  \n2. Volume of the frustum =  [A 1 + A2 +] Where A 1 & A2 are areas of circular bases of the frustum.  \nTS_X_MAT_SURFACE AREA & VOLUME [HTTPS://BRAINBOXSCHOOL.COM/](HTTPS://BRAINBOXSCHOOL.COM/)","cbCaiuB2OfQgcWLM","https://ap.wps.com/l/cbCaiuB2OfQgcWLM","pdf",281321,"English","# Introduction to Frustum of a Cone\n## Mathematical Definitions and Formulas\n## Practical Applications","[{\"question\":\"What is a frustum of a cone?\",\"answer\":\"A frustum of a cone is the portion of a right circular cone that remains after the top part containing the vertex is cut off by a plane parallel to the base.\"},{\"question\":\"How is the height of a frustum defined?\",\"answer\":\"The height of the frustum is defined as the perpendicular distance between the two parallel planes that form its bases.\"},{\"question\":\"What formula is used to calculate the area of the metal sheet for a bucket-shaped frustum?\",\"answer\":\"The area is calculated by summing the outer or inner curved surface area and the area of the circular bottom base, expressed as πl(r1 + r2) + πr2^2.\"}]","CBSE X Mathematics - Surface Area and Volume - Frustum of a Cone | PDF",1789745238]