[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637833-105":3,"doc-detail-637833-en":80,"detail-sidebar-cat-0-en-105":96},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","surface-area-of-a-cylinder-sheet-2-practice-exercises-and-solutions","Surface Area of a Cylinder - Sheet 2 - Practice Exercises and Solutions","","This educational resource provides a structured set of practice problems for calculating the surface area of closed cylinders. It presents five distinct exercises involving cylinders with various dimensions given in centimeters, inches, and feet. Each problem requires students to apply the standard geometric formula for the total surface area of a cylinder, 2πr(r + h), where 'r' is the radius and 'h' is the height. The document includes a comprehensive answer key with step-by-step working out for each problem, ensuring that calculations are performed accurately to two decimal places. This material is designed for students seeking to reinforce their understanding of geometry and algebraic substitution in practical measurement scenarios. By offering both the exercise sheet and the detailed solutions, the document serves as an effective self-assessment tool for mastering volume and surface area calculations, emphasizing the importance of correctly identifying the radius when diameter is provided.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/surface-area-of-a-cylinder-sheet-2-practice-exercises-and-solutions/637833/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/surface-area-of-a-cylinder-sheet-2-practice-exercises-and-solutions/637833.png","ImageObject",300,407,{"name":42,"@type":43},"RuangKosong","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the mathematical formula for the surface area of a closed cylinder?","Question",{"text":62,"@type":63},"The formula used is 2πr(r + h), where 'r' represents the radius of the cylinder's base and 'h' represents its height.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you determine the radius if only the diameter is provided?",{"text":67,"@type":63},"The radius is calculated by dividing the diameter by two. For instance, if the diameter is 9 feet, the radius is 4.5 feet.",{"name":69,"@type":60,"acceptedAnswer":70},"What is the requirement for formatting the final answers in this practice sheet?",{"text":71,"@type":63},"All calculated areas should be rounded and presented to 2 decimal places.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},637833,1792876029,{"code":4,"msg":81,"data":82},"success",{"doc_id":78,"user_id":83,"nickname":42,"user_avatar":84,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":85,"file_id":86,"file_url":87,"file_type":88,"file_size":89,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":90,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":91,"faqs":92,"seo_title":93,"seo_description":12,"update_tm":94,"read_time":95},962090883219,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","SURFACE AREA OF A CYLINDER SHEET 2  \nUse the measurements to find the area of these closed cylinders. Give your answers to 2 decimal places.  \n\n|  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- |\n| 15 cm 1)  |  | 7 cm |  |  |\n| 8 ½ in\u003Cbr>2)  6 ½ in\u003Cbr>|  |  |  |  |\n| 1.2 m\u003Cbr>3)  6.3 m\u003Cbr>|  |  |  |  |\n|  12 ft \u003Cbr>4)  9 ft |  |  |  |  |\n| 5) | 4.4 cm\u003Cbr>\u003Cbr>\u003Cbr>5.8 cm |  |  |  |\n\nSURFACE AREA OF A CYLINDER SHEET 2 ANSWERS  \nUse the measurements to find the area of these closed cylinders. Give your answers to 2 decimal places.  \n\n|  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- |\n| 15 cm 1)  |  | 7 cm | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (15) (15 + 7) = 2π (15) (22) = 2π (330)= 660π = 2073.45 cm2 to 2 decimal places | 2073.45\u003Cbr>cm2 |\n| 8 ½ in\u003Cbr>2)  6 ½ in\u003Cbr>|  |  | The diameter is 8 ½ inches, so the radius is 8 ½ ÷ 2 = 4 ¼ inches.\u003Cbr>Cylinder area = 2πr(r + h)\u003Cbr>= 2π (4 ½ ) (4 ½ + 6 ½ ) = 2π (4 ½ ) (11)= 2π (49 ½ ) = 99π = 311.02 in2 to 2 decimal places | 311.02 in2 |\n| 3) | 1.2 m\u003Cbr>\u003Cbr>6.3 m\u003Cbr>|  | Cylinder area = 2πr(r + h)\u003Cbr>= 2π (1.2) (1.2 + 6.3) = 2π (1.2) (7.5)= 2π (9) = 18 π = 56.55 m2 to 2 decimal places | 56.55 m2 |\n|  12 ft \u003Cbr>4)  9 ft |  |  | The diameter is 9 foot, so the radius is 9 ÷ 2 = 4 ½ foot.\u003Cbr>Cylinder area = 2πr(r + h)\u003Cbr>= 2π (4 ½) (4 ½ + 12) = 2π (4 ½) (16 ½) = 2π (74 ¼ ) = 148 ½ π = 466.53 ft2 to 2 decimal places | 466.53 ft2 |\n| 5) | 4.4 cm\u003Cbr>\u003Cbr>\u003Cbr>5.8 cm |  | The diameter is 5.8 cm, so the radius is 5.8 ÷ 2 = 2.9 cm\u003Cbr>Cylinder area = 2πr(r + h)\u003Cbr>= 2π (2 .9) (2.9 + 4.4) = 2π (2.9) (7.3) = 2π(21.17 ) = 42.34π = 133.02 cm2 to 2 decimal places | 133.02 cm2 |","cbCaielaO9SvqcWJ","https://ap.wps.com/l/cbCaielaO9SvqcWJ","pdf",185276,"English","# Practice Problems\n## Exercise Questions\n# Answer Key\n## Step-by-Step Solutions","[{\"question\":\"What is the mathematical formula for the surface area of a closed cylinder?\",\"answer\":\"The formula used is 2πr(r + h), where 'r' represents the radius of the cylinder's base and 'h' represents its height.\"},{\"question\":\"How do you determine the radius if only the diameter is provided?\",\"answer\":\"The radius is calculated by dividing the diameter by two. For instance, if the diameter is 9 feet, the radius is 4.5 feet.\"},{\"question\":\"What is the requirement for formatting the final answers in this practice sheet?\",\"answer\":\"All calculated areas should be rounded and presented to 2 decimal places.\"}]","Surface Area of a Cylinder - Sheet 2 - Practice Exercises and Solutions | PDF",1792681516,5,{"code":4,"msg":81,"data":97},[98,102,106,109,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":103,"show_sort_weight":104,"slug":105},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":107,"slug":108},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},8,"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":95,"slug":143},19,"General","general"]