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Problems calculate total surface area including top and bottom for multiple real-world cylinder scenarios, such as a concrete pillar, thermos, column, water tower, and storage tank, with dimensions in feet, meters, inches, and centimeters. Additional questions find volumes of cylindrical container, thermos, juice glass, vase, candle, and coffee mug, as well as a cookie tin’s covered surface area, all demanding exact pi-based expressions.",{"@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/volume-and-surface-area-of-cylinders-worksheet-solve-problems-in-terms-of-pi/485363/",{"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/volume-and-surface-area-of-cylinders-worksheet-solve-problems-in-terms-of-pi/485363.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What units and expressions are required for answers?","Question",{"text":112,"@type":113},"Each problem requires answers written in terms of pi, using the unit system stated in the scenario (square feet, square meters, square inches for surface area; cubic centimeters, cubic inches for volume).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which problems ask for total surface area including the top and bottom?",{"text":117,"@type":113},"Items such as the concrete pillar, thermos, column, water tower, and metal storage tank explicitly request total surface area including the top and bottom.",{"name":119,"@type":110,"acceptedAnswer":120},"Which problems ask for cylinder volume?",{"text":121,"@type":113},"Questions for the cylindrical container, thermos, juice glass, vase, candle, and coffee mug ask for volume in cubic units, expressed in terms of pi.","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},485363,1792875811,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39,"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) A concrete pillar is a cylinder with a radius of 8 feet and a height of 18 feet. What is the total surface area of the pillar, including the top and bottom, in square feet, in terms of pi?\u003Cbr>2) A cylindrical container has a diameter of 6 centimeters and a height of 10 centimeters. What is the volume of the container, in cubic centimeters, in terms of pi?\u003Cbr>3) A cylindrical thermos has a diameter of 8 inches and a height of 12 inches. What is the total surface area of the thermos, including the top and bottom, in square inches, in terms of pi?\u003Cbr>4) A cylindrical column has a radius of 3 feet and a height of 16 feet. What is the total surface area of the column, including the top and bottom, in square feet, in terms of pi?\u003Cbr>5) A cylindrical juice glass has a radius of 6 centimeters and a height of 15 centimeters. What is the volume of the glass, in cubic centimeters, in terms of pi?\u003Cbr>6) A cylindrical vase has a radius of 5 inches and a height of 10 inches. What is the volume of the vase, in cubic inches, in terms of pi?\u003Cbr>7) A cylindrical column has a diameter of 14 feet and a height of 12 feet. What is the total surface area of the column, including the top and bottom, in square feet, in terms of pi?\u003Cbr>8) A water tower is a cylinder with a radius of 6 meters and a height of 19 meters. What is the total surface area of the tower, including the top and bottom, in square meters, in terms of pi?\u003Cbr>9) A metal storage tank is a cylinder with a radius of 3 feet and a height of 18 feet. What is the total surface area of the tank, including the top and bottom, in square feet, in terms of pi?\u003Cbr>10) A tin of cookies is a cylinder with a diameter of 4 inches and a height of 8 inches. Lana 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?\u003Cbr>11) A candle is shaped like a cylinder with a radius of 3 centimeters and a height of\u003Cbr>10 centimeters. What is the volume of the candle, in cubic centimeters, in terms of pi?\u003Cbr>12) A cylindrical coffee mug has a radius of 6 centimeters and a height of 7 centimeters. What is the volume of the mug, in cubic centimeters, in terms of pi? |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>6\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) A concrete pillar is a cylinder with a radius of 8 feet and a height of 18 feet. What is the total surface area of the pillar, including the top and bottom, in square feet, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.  416π  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A cylindrical container has a diameter of 6 centimeters and a height of 10 centimeters. What is the volume of the container, in cubic centimeters, in terms of pi? |  |  |  | 2.  90π \u003Cbr>3.  128π  |  |  |  |  |  |  |  |\n| 3) | A cylindrical thermos has a diameter of 8 inches and a height of 12 inches. What is the total surface area of the thermos, including the top and bottom, in square inches, in terms of pi? |  |  |  | 4.  114π \u003Cbr>5. 540π |  |  |  |  |  |  |  |\n| 4) | A cylindrical column has a radius of 3 feet and a height of 16 feet. What is the total surface area of the column, including the top and bottom, in square feet, in terms of pi? |  |  |  | 6.  250π  |  |  |  |  |  |  |  |\n| 5) | A cylindrical juice glass has a radius of 6 centimeters and a height of 15 centimeters. Wh","cbCaicgitNLsqiwQ","https://ap.wps.com/l/cbCaicgitNLsqiwQ","pdf",43663,"English","# Practice Problems\n## Total Surface Area (with top and bottom)\n## Volume (in terms of pi)\n## Answer Key","[{\"question\":\"What units and expressions are required for answers?\",\"answer\":\"Each problem requires answers written in terms of pi, using the unit system stated in the scenario (square feet, square meters, square inches for surface area; cubic centimeters, cubic inches for volume).\"},{\"question\":\"Which problems ask for total surface area including the top and bottom?\",\"answer\":\"Items such as the concrete pillar, thermos, column, water tower, and metal storage tank explicitly request total surface area including the top and bottom.\"},{\"question\":\"Which problems ask for cylinder volume?\",\"answer\":\"Questions for the cylindrical container, thermos, juice glass, vase, candle, and coffee mug ask for volume in cubic units, expressed in terms of pi.\"}]","Volume and Surface Area of Cylinders - Worksheet - Solve problems in terms of pi | PDF",1790804095]