[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637832-105":59,"doc-detail-637832-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-1","Surface Area of a Cylinder - Sheet 1","","This educational document provides a structured worksheet designed to help students calculate the surface area of closed cylinders. It includes a series of geometry problems requiring the use of the radius and height of cylinders to determine total surface area, with instructions to round the final results to two decimal places. The resource is divided into an exercise section and a comprehensive answer key that demonstrates the step-by-step mathematical working process using the formula 2πr(r+h). It serves as a practical assessment tool for understanding geometric surface area calculations in various units of measurement, including centimeters, feet, meters, and inches. By utilizing clear examples and guided calculations, this material assists learners in mastering the application of algebraic and geometric formulas in real-world dimensions, ensuring accuracy through systematic methodology and consistent numerical formatting across all provided exercises.",{"@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-1/637832/",{"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-1/637832.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},"What is the formula for the surface area of a closed cylinder used in this worksheet?","Question",{"text":112,"@type":113},"The formula used is 2πr(r+h), where 'r' represents the radius and 'h' represents the height of the cylinder.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should the final answers be presented in these exercises?",{"text":117,"@type":113},"The answers should be calculated based on the given dimensions and rounded to two decimal places.",{"name":119,"@type":110,"acceptedAnswer":120},"What units of measurement are included in the practice problems?",{"text":121,"@type":113},"The problems utilize various units including centimeters (cm), feet (ft), meters (m), and inches (in).","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},637832,1792897998,{"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 1  \nUse the radius measurement to find the area of these closed cylinders. Give your answers to 2 decimal places.  \n\n| CYLINDER |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- |\n| 1) | 3 cm\u003Cbr>\u003Cbr>|  |  |  |\n| 2)\u003Cbr>1 ½ ft\u003Cbr>1 ft\u003Cbr>|  |  |  |  |\n| 0.9 m\u003Cbr>3)  4.2 m\u003Cbr>|  |  |  |  |\n| 2.6 cm\u003Cbr>4)  3.4 cm\u003Cbr>|  |  |  |  |\n| 9 in |  |  |  |  |\n| 5)\u003Cbr>2 ½ in |  | |  |  |\n\nSURFACE AREA OF A CYLINDER SHEET 1 ANSWERS  \nUse the radius measurement to find the area of these closed cylinders. Give your answers to 2 decimal places.  \n\n| CYLINDER |  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- | --- |\n| 1) | 3 cm\u003Cbr> 7 cm |  |  | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (3) (3 + 7) = 2π (3) (10) = 2π (30)= 60π = 188.50 cm 2 to 2 decimal places | 188.50\u003Cbr>cm2 |\n| 1 ½ ft 2)  |  |  | 1 ft | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (1 ½ ) (1 ½ + 1) = 2π (1 ½) (2 ½)= 2π (3 ¾ ) = 7 ½ π = 23.56 ft2 to 2 decimal places | 23.56 ft2 |\n| 0.9 m\u003Cbr>3)  4.2 m\u003Cbr>|  |  |  | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (0 .9) (0 .9 + 4 . 2) = 2π (0 .9)(5 . 1)= 2π (4 .59) = 9.18 π = 28.84 m2 to 2dp | 28.84 m2 |\n| 2.6 cm\u003Cbr>4)  3.4 cm\u003Cbr>|  |  |  | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (2 . 6) (2 .6 + 3 .4) = 2π (2 . 6)(6)\u003Cbr>= 2π (15.6) = 31.2 π = 98.02 cm2 to 2dp | 98.02 cm2 |\n| 9 in |  |  |  | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (2 ½) (2 ½ + 9) = 2π (2 ½)(11 ½)= 2π (28 ¾ ) = 57 ½ π = 180.64 in 2 to 2dp | 180.64 in2 |\n| 5)\u003Cbr>2 ½ in |  | |  |  |  |","cbCaig49p79JcOY8","https://ap.wps.com/l/cbCaig49p79JcOY8","pdf",180157,"English","# Exercise Section\n## Answer Key","[{\"question\":\"What is the formula for the surface area of a closed cylinder used in this worksheet?\",\"answer\":\"The formula used is 2πr(r+h), where 'r' represents the radius and 'h' represents the height of the cylinder.\"},{\"question\":\"How should the final answers be presented in these exercises?\",\"answer\":\"The answers should be calculated based on the given dimensions and rounded to two decimal places.\"},{\"question\":\"What units of measurement are included in the practice problems?\",\"answer\":\"The problems utilize various units including centimeters (cm), feet (ft), meters (m), and inches (in).\"}]","Surface Area of a Cylinder - Sheet 1 | PDF",1792681510]