[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485356-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-485356-en":130},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","volume-and-surface-area-of-cylinders-solve-each-problem-in-terms-of-pi-485356","Volume and Surface Area of Cylinders - Solve Each Problem in Terms of pi","","Practice worksheet and answer key focused on cylinder geometry, requiring students to compute surface area or volume using π. Problems include real-world contexts such as wrapping a cylindrical gift box, covering cans, painting drums, and calculating volumes of items like thermoses, mugs, and fuel drums. Each question specifies radius, diameter, and height, then asks for results expressed in terms of π. An accompanying key lists numerical answers in π-form for the full set.",{"@graph":14,"@context":73},[15,34,56],{"@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/volume-and-surface-area-of-cylinders-solve-each-problem-in-terms-of-pi-485356/485356/",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/volume-and-surface-area-of-cylinders-solve-each-problem-in-terms-of-pi-485356/485356.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-07","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How are the answers supposed to be written for these cylinder problems?","Question",{"text":63,"@type":64},"Each problem must be solved in terms of π, and if an answer is 90π it should be written exactly as 90π.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which cylinder measures are needed to find surface area and volume here?",{"text":68,"@type":64},"The worksheet provides radius (or diameter) and height, and you use those to calculate either the total surface area (including top and bottom) or the volume.",{"name":70,"@type":61,"acceptedAnswer":71},"Do the problems include both surface area and volume calculations?",{"text":72,"@type":64},"Yes. Some questions ask for total surface area of cylinders, while others ask for volume in cubic units, all expressed in terms of π.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},485356,1793003142,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110,"preview_page_count":4},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Volume and Surface Area of Cylinders (Word)  \nName:  \n\n| Solve each problem in terms of pi. If the answer is 90pi, write 90pi.\u003Cbr>1) Wrapping paper completely covers a cylindrical gift box, including the top and bottom. The box has a diameter of 8 inches and a height of 15 inches. What is the surface area of the box, in square inches, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A soup can is a cylinder with a radius of 3 centimeters and a height of 16 centimeters. What is the total surface area of the can, including the top and bottom, in square centimeters, in terms of pi? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | John is wrapping foil around the entire outside of a cylindrical tin, including the top and bottom. The tin has a radius of 3 inches and a height of 10 inches. What is the surface area he covers, in square inches, in terms of pi? |  |  |  | 4.  \u003Cbr>5. |  |  |  |  |  |  |  |\n| 4) | A tin of cookies is a cylinder with a diameter of 10 inches and a height of 10 inches. What is the total surface area of the tin, including the top and bottom, in square inches, in terms of pi? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 5) | A water tower is a cylinder with a radius of 7 meters and a height of 11 meters. What is the total surface area of the tower, including the top and bottom, in square meters, in terms of pi? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 6) | A thermos is a cylinder with a diameter of 8 inches and a height of 11 inches. What is the volume of the thermos, in cubic inches, in terms of pi? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | A can of soup is a cylinder with a radius of 6 centimeters and a height of 13 centimeters. What is the volume of the can, in cubic centimeters, in terms of pi? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | Sarah is painting the entire outside of a drum, including the top and bottom. The drum has a radius of 4 feet and a height of 8 feet. What is the surface area of the drum, in square feet, in terms of pi? |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | A coffee mug is a cylinder with a radius of 2 centimeters and a height of 9 centimeters. What is the volume of the mug, in cubic centimeters, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | A fuel drum is a cylinder with a radius of 4 feet and a height of 13 feet. What is the volume of the drum, in cubic feet, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | A candle is shaped like a cylinder with a radius of 4 centimeters and a height of 8 centimeters. What is the volume of the candle, in cubic centimeters, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | A tin of cookies is a cylinder with a diameter of 4 inches and a height of 17 inches. Gwen covers every surface of the tin, including the top and bottom. What is the surface area she covers, in square inches, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>1-10\u003Cbr>11-12 | 92 | 83 | 75 |  | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nVolume and Surface Area of Cylinders (Word)  \nName: Answer Key  \n\n| Solve each problem in terms of pi. If the answer is 90pi, write 90pi.\u003Cbr>1) Wrapping paper completely covers a cylindrical gift box, including the top and bottom. The box has a diameter of 8 inches and a height of 15 inches. What is the surface area of the box, in square inches, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.  152π  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A soup can is a cylinder with a radius of 3 centimeters and a height of 16 centimeters. What is the total surface area of the can, including the top and bottom, in square centimeters, in terms of pi? |  |  |  | 2.  114π \u003Cbr>3.  78π  |  |  |  |  |  |  |  |\n| 3) | John is wrapping foil","cbCaiq7opbdhF13c","https://ap.wps.com/l/cbCaiq7opbdhF13c","pdf",43801,"English","# Problems\n## Surface area (top, bottom, and lateral area)\n## Volume (in terms of pi)\n## Answer key","[{\"question\":\"How are the answers supposed to be written for these cylinder problems?\",\"answer\":\"Each problem must be solved in terms of π, and if an answer is 90π it should be written exactly as 90π.\"},{\"question\":\"Which cylinder measures are needed to find surface area and volume here?\",\"answer\":\"The worksheet provides radius (or diameter) and height, and you use those to calculate either the total surface area (including top and bottom) or the volume.\"},{\"question\":\"Do the problems include both surface area and volume calculations?\",\"answer\":\"Yes. Some questions ask for total surface area of cylinders, while others ask for volume in cubic units, all expressed in terms of π.\"}]","Volume and Surface Area of Cylinders - Solve Each Problem in Terms of pi | PDF",1790804083]