[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297456-105":59,"doc-detail-297456-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","mathematics-solid-shape-surface-area-of-a-cylinder","Mathematics - Solid Shape - Surface Area of a Cylinder","","This document provides a structured educational overview of calculating the surface area of a cylinder, a fundamental topic in solid geometry. It explicitly defines the components of a cylinder, identifying two circular faces and one curved surface. The content details the essential mathematical formulas for determining both the Curved Surface Area (CSA = 2πrh) and the Total Surface Area (TSA = 2πr² + 2πrh). To facilitate practical learning, the material includes a solved example involving a cylindrical cup with specific dimensions, demonstrating the step-by-step application of these formulas. Furthermore, the document offers an evaluation section consisting of two practice problems designed to assess the learner's ability to calculate surface areas for given radii and heights, making it a valuable resource for students reinforcing their grasp of geometric measurements and spatial reasoning.",{"@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/mathematics-solid-shape-surface-area-of-a-cylinder/297456/",{"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/mathematics-solid-shape-surface-area-of-a-cylinder/297456.png","ImageObject",300,407,{"name":92,"@type":93},"Mali","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the three faces of a cylinder?","Question",{"text":113,"@type":114},"A cylinder is bounded by two circular faces and one curved surface.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the formula for the curved surface area of a cylinder?",{"text":118,"@type":114},"The formula for the curved surface area (CSA) of a cylinder is CSA = 2πrh.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the total surface area of a cylinder calculated?",{"text":122,"@type":114},"The total surface area (TSA) is calculated using the formula TSA = 2πr² + 2πrh, where r is the radius and h is the height.","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},297456,1790086401,{"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":14,"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":24},2336475104362,"https://ap-avatar.wpscdn.com/avatar/22000c4c46a41b752dd?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786595829695023868","SUBJECT: MATHEMATICS  \nTOPIC: Solid Shape  \nSub Topic 1 : surface area of a cylinder (revision)  \nA cylinder is bounded by three faces; 2 circular faces and 1 curved surfacer  \nCircular face  \nCurved Surface  \nCircular face  \nFormula for finding the curved surface of a cylinder CSA = 2πrh  \nFormula for finding the Total surface Area of a cylinder TSA = 2πr2 + 2πrh  \nExample  \nA cylindrical cup has a base radius of 5cm and a height of 10cm. calculate the (i) curved surface area  \n(ii) total surface area, of the cylinder.  \nSolution  \n(i) CSA = 2πrh  \n2 x  \n􀫛􀫛  \n􀫠  \nx 5 x 10 = 314. 29cm2  \n(ii) TSA = 2πr2 + 2πrh  \n2 x 􀫛􀫛􀫠 x 5 x 5 + 2 x 􀫛􀫛􀫠 x 5 x 10  \n157.14 + 314.29 = 471.43  \nEvaluation  \n1. A cylindrical can has a base radius of 7cm and a height of 12cm. calculate the (i) curved surface area (ii) total surface area, of the cylinder.  \n2. Calculate the curved surface area of the diagram below;  \n14cm   \n8cm","cbCaiirIqYnOQn6B","https://ap.wps.com/l/cbCaiirIqYnOQn6B","pdf",530739,"English","# Surface Area of a Cylinder\n## Revision of Cylinder Properties\n## Mathematical Formulas\n## Solved Example\n## Evaluation Exercises","[{\"question\":\"What are the three faces of a cylinder?\",\"answer\":\"A cylinder is bounded by two circular faces and one curved surface.\"},{\"question\":\"What is the formula for the curved surface area of a cylinder?\",\"answer\":\"The formula for the curved surface area (CSA) of a cylinder is CSA = 2πrh.\"},{\"question\":\"How is the total surface area of a cylinder calculated?\",\"answer\":\"The total surface area (TSA) is calculated using the formula TSA = 2πr² + 2πrh, where r is the radius and h is the height.\"}]","Mathematics - Solid Shape - Surface Area of a Cylinder | PDF",1789744718]