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Students learn the total surface area formulas, distinguish curved areas from base (circular) areas, and interpret which surfaces are included when painting the outside. The session uses diagrams, real objects, and guided examples to solve TSA problems for given radius, height, and slant height. Evaluation and an assignment on a conical tent reinforce application.",{"@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/curved-surface-area-of-cylinder-and-cone-formula-of-total-surface-area-of-cylinder-and-cone/297477/",{"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/curved-surface-area-of-cylinder-and-cone-formula-of-total-surface-area-of-cylinder-and-cone/297477.png","ImageObject",300,407,{"name":92,"@type":93},"Dipper","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","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 does total surface area of a cylinder or cone include?","Question",{"text":113,"@type":114},"Total surface area includes both the curved surface area and the base(s) (circular ends for a cylinder, and the circular base for a cone).","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the total surface area formula for a cylinder?",{"text":118,"@type":114},"TSA for a cylinder is 2πrh + 2πr², where r is the radius and h is the height.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you find the total surface area of a cone?",{"text":122,"@type":114},"TSA for a cone is πrl + πr², where r is the radius and l is the slant 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},297477,1790476522,{"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},1374404997633,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Class: JSS 2  \nSubject: Mathematics  \nDate: 07 May, 2025  \nDuration: 40 minutes  \nTopic: Curved Surface Area of Cylinder and Cone  \nSub-topic: Formula of Total Surface Area of Cylinder and Cone  \n\n| Instructional Objectives:\u003Cbr>By the end of the lesson, students should be able to:\u003Cbr>1. State the formula for the total surface area of a cylinder and a cone.\u003Cbr>2. Identify the curved and circular areas of these solids.\u003Cbr>3. Solve problems involving total surface area of a cylinder and a cone. |\n| --- |\n| Instructional Materials:\u003Cbr>􀁸 Diagrams and models of cylinder and cone\u003Cbr>􀁸 Marker/Whiteboard\u003Cbr>􀁸 Real objects (e.g., cup, bucket, funnel) |\n| Previous Knowledge:\u003Cbr>Students have learned the curved surface area of cylinders and cones and how to find area of circles. |\n\nPresentation Steps:  \nStep 1: Introduction (5 mins)  \n􀁸 Teacher displays both a cylinder and a cone.  \n􀁸 Ask students: “What if you wanted to paint the whole outside, including top and bottom?”  \n􀁸 Explain that total surface area includes both the curved area and the base(s) .  \nStep 2: Explanation (15 mins)  \n􀁸 Cylinder:  \nTotal Surface Area (TSA) = 2πrh + 2πr²  \n= Curved Surface Area + Area of two circular ends  \n􀁸 Cone:  \nTotal Surface Area (TSA) = πrl + πr²  \n= Curved Surface Area + Area of base  \n􀁸 Draw and label both shapes clearly  \nStep 3: Class Activity (10 mins)  \n􀁸 Solve example:  \n1. Find the TSA ofa cylinder with radius 5 cm and height 10 cm.  \n2. Find the TSA ofa cone with radius 7 cm and slant height 9 cm.  \n􀁸 Guide students through similar problems.  \nStep 4: Conclusion (5 mins)  \n􀁸 Summarize the formulas.  \n􀁸 Ask quick oral questions to test comprehension.  \nEvaluation:  \n1. What is the difference between curved and total surface area?  \n2. Find the total surface area of:  \na. A cylinder with radius 4 cm and height 7 cm  \nb. A cone with radius 3 cm and slant height 5 cm  \nAssignment:  \nA conical tent has radius 6 m and slant height 10 m. Find the total surface area of the tent.","cbCainfH9neRuIXj","https://ap.wps.com/l/cbCainfH9neRuIXj","pdf",309906,"English","# Curved Surface Area of Cylinder and Cone\n## Formula of Total Surface Area of Cylinder and Cone\n## Instructional Objectives\n## Instructional Materials\n## Previous Knowledge\n## Presentation Steps\n## Class Activity\n## Evaluation and Assignment","[{\"question\":\"What does total surface area of a cylinder or cone include?\",\"answer\":\"Total surface area includes both the curved surface area and the base(s) (circular ends for a cylinder, and the circular base for a cone).\"},{\"question\":\"What is the total surface area formula for a cylinder?\",\"answer\":\"TSA for a cylinder is 2πrh + 2πr², where r is the radius and h is the height.\"},{\"question\":\"How do you find the total surface area of a cone?\",\"answer\":\"TSA for a cone is πrl + πr², where r is the radius and l is the slant height.\"}]","Curved Surface Area of Cylinder and Cone - Formula of Total Surface Area of Cylinder and Cone | PDF",1789744838]