[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637834-105":59,"doc-detail-637834-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","surface-area-of-a-cylinder-sheet-3","SURFACE AREA OF A CYLINDER SHEET 3","","A worksheet on finding surface area for open and closed cylinders using given dimensions. Four practical problems cover a hockey puck, a cardboard tube, an open-top plant pot, and a plastic pipe. Each question specifies diameter and thickness or height/length, and requires answers rounded to 1 decimal place. Worked solutions apply circle radius/diameter relationships and standard cylinder area formulas for closed and open-top cases.",{"@graph":69,"@context":122},[70,84,105],{"@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-area-of-a-cylinder-sheet-3/637834/",{"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-area-of-a-cylinder-sheet-3/637834.png","ImageObject",300,407,{"name":92,"@type":93},"RuangKosong","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Do the questions ask for open and closed cylinder surface areas?","Question",{"text":112,"@type":113},"Yes. Some cylinders are treated as closed (including top and bottom), while the plant pot is open on top, so a different surface area formula is used.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are diameters handled in the working?",{"text":117,"@type":113},"Each solution converts diameter to radius (radius = diameter ÷ 2) before substituting into the relevant surface area formula.",{"name":119,"@type":110,"acceptedAnswer":120},"What rounding is required for the final answers?",{"text":121,"@type":113},"All answers are given to 1 decimal place.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},637834,1793008078,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},962090883219,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","SURFACE AREA OF A CYLINDER SHEET 3  \nUse the measurements to find the area of these open and closed cylinders. Give your answers to 1 decimal place.  \n\n| PROBLEM |  | CYLINDER | WORKING OUT |\n| --- | --- | --- | --- |\n| 1) | A hockey puck is a disc which is 1 inch thick and has a diameter of 3 inches.\u003Cbr>What is the surface area?\u003Cbr>  in2 |  3 in \u003Cbr> 1 in |  |\n| 2) | A cardboard tube has a height of 11 cm and a diameter of 4 cm.\u003Cbr>What is the surface area?\u003Cbr>  cm2 |  4 cm \u003Cbr> 12 cm |  |\n| 3) | A cylinder-shaped plant pot (with no lid) has a diameter of 12 inches and a height of 17 inches. What is the surface area?\u003Cbr>  in2 | 12 in\u003Cbr>\u003Cbr>\u003Cbr> 17 in |  |\n| 4) | A plastic pipe has a diameter of 14 cm and a length of 3 m.\u003Cbr>What is the surface area?\u003Cbr>  cm2 | 14 cm\u003Cbr>|  |\n\nSURFACE AREA OF A CYLINDER SHEET 3 ANSWERS  \nUse the measurements to find the area of these open and closed cylinders. Give your answers to 1 decimal place.  \n\n| PROBLEM |  | CYLINDER | WORKING OUT |\n| --- | --- | --- | --- |\n| 1) | A hockey puck is a disc which is 1 inch thick and has a diameter of 3 inches.\u003Cbr>What is the surface area? 23.6 in2 |  3 in \u003Cbr> 1 in | Diameter = 3 inches, so radius = 1 ½ inches.\u003Cbr>Closed Cylinder area = 2πr(r + h)\u003Cbr>= 2π(1 ½)(1 ½ + 1) = 2π(1 ½)(2 ½)= 2π(3 ¾) = 7 ½ π = 23.6 in2 to 1 decimal places |\n| 2) | A cardboard tube has a height of 11 cm and a diameter of 4 cm.\u003Cbr>What is the surface area? 150.8 cm2 |  4 cm \u003Cbr> 12 cm | Diameter = 4 cm, so radius = 2 cm. Tube Surface area = 2πrh = 2π(2)(12) = 2π(24)\u003Cbr>= 48π = 150.8 cm2 to 1dp |\n| 3) | A cylinder-shaped plant pot (with no lid) has a diameter of 12 inches and a height of 17 inches. What is the surface area? 754.0 in2 | 12 in\u003Cbr>\u003Cbr>\u003Cbr> 17 in | Diameter = 12 inches, so radius = 6 inches.\u003Cbr>Open-top Cylinder Area = πr(r + 2h)\u003Cbr>= π(6)(6 + 2 x 17) = π(6)(6 + 34)= π(6)(40) = 240π = 754.0 in2 to 1dp |\n| 4) | A plastic pipe has a diameter of 14 cm and a length of 3 m.\u003Cbr>What is the surface area? 13194.7 cm2 | 14 cm\u003Cbr>| Diameter = 14 cm so radius = 7 cm. Tube length = 3 m = 300 cm Tube Surface Area = 2πrh = 2π(7)(300) = 2π (2100) = 4200π= 13194.7 cm2 |","cbCaikaCz5v5NC7y","https://ap.wps.com/l/cbCaikaCz5v5NC7y","pdf",189539,"English","# Surface Area of a Cylinder - Problems\n## Worked Answers","[{\"question\":\"Do the questions ask for open and closed cylinder surface areas?\",\"answer\":\"Yes. Some cylinders are treated as closed (including top and bottom), while the plant pot is open on top, so a different surface area formula is used.\"},{\"question\":\"How are diameters handled in the working?\",\"answer\":\"Each solution converts diameter to radius (radius = diameter ÷ 2) before substituting into the relevant surface area formula.\"},{\"question\":\"What rounding is required for the final answers?\",\"answer\":\"All answers are given to 1 decimal place.\"}]","SURFACE AREA OF A CYLINDER SHEET 3 | PDF",1792681517]