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Problems require finding total surface area of cylinders (including top and bottom) and computing volumes for cylinders given diameters and heights. Answer key entries provide final expressions such as 144π, 250π, 90π, 72π, 32π, and 120π for selected items, covering both surface-area and volume calculations across mixed unit settings (inches, centimeters, feet, meters).",{"@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-solve-each-problem-in-terms-of-pi-485357/485357/",{"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-solve-each-problem-in-terms-of-pi-485357/485357.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-06","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you set up the surface area of a cylinder that includes the top and bottom?","Question",{"text":112,"@type":113},"Use total surface area = 2πr^2 + 2πrh, where r is the radius and h is the height. The worksheet asks for the result in terms of pi.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What formula is used to find the volume of a cylinder in terms of pi?",{"text":117,"@type":113},"Use volume = πr^2h. The problems give a diameter (to get r) and a height, then ask for the volume in terms of pi.",{"name":119,"@type":110,"acceptedAnswer":120},"Do the questions use different measurement units?",{"text":121,"@type":113},"Yes. 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If the answer is 90pi, write 90pi.\u003Cbr>1) A trash can is a cylinder with a diameter of 12 inches and a height of 6 inches. What is the total surface area of the trash can, including the top and bottom, in square inches, in terms of pi?\u003Cbr>2) A cylindrical trash bin has a diameter of 10 inches and a height of 10 inches. What is the volume of the bin, in cubic inches, in terms of pi?\u003Cbr>3) 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>4) Will is labeling the entire outside of a paint can, including the top and bottom. The can has a radius of 3 inches and a height of 9 inches. What is the surface area of the can, in square inches, in terms of pi?\u003Cbr>5) A candle is shaped like a cylinder with a radius of 2 centimeters and a height of\u003Cbr>8 centimeters. What is the volume of the candle, in cubic centimeters, in terms of pi?\u003Cbr>6) 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 11 inches. What is the surface area of the box, in square inches, in terms of pi?\u003Cbr>7) A tin of cookies is a cylinder with a diameter of 10 inches and a height of 7 inches. Olivia 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>8) A tin of cookies is a cylinder with a diameter of 10 inches and a height of 11 inches. What is the total surface area of the tin, including the top and bottom, in square inches, in terms of pi?\u003Cbr>9) A water tank is a cylinder with a diameter of 4 feet and a height of 8 feet. What is the volume of the tank, in cubic feet, in terms of pi?\u003Cbr>10) A cylindrical bucket has a diameter of 4 inches and a height of 15 inches. What is the volume of the bucket, in cubic inches, in terms of pi?\u003Cbr>11) A water tower is a cylinder with a radius of 3 meters and a height of 22 meters. What is the total surface area of the tower, including the top and bottom, in square meters, in terms of pi?\u003Cbr>12) A cylindrical flower pot has a diameter of 10 inches and a height of 6 inches. What is the volume of the pot, in cubic inches, 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>2\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 trash can is a cylinder with a diameter of 12 inches and a height of 6 inches. What is the total surface area of the trash can, including the top and bottom, in square inches, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.  144π  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A cylindrical trash bin has a diameter of 10 inches and a height of 10 inches. What is the volume of the bin, in cubic inches, in terms of pi? |  |  |  | 2.  250π \u003Cbr>3.  90π  |  |  |  |  |  |  |  |\n| 3) | 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? |  |  |  | 4.  72π \u003Cbr>5. 32π |  |  |  |  |  |  |  |\n| 4) | Will is labeling the entire outside of a paint can, including the top and bottom. The can has a radius of 3 inches and a height of 9 inches. What is the surface area of the can, in square inches, in terms of pi? |  |  |  | 6.  120π  |  |  |  |  |  |  |  |\n| 5) | A candle is shaped like a cylinder with a radius of 2 centimeters and a height ","cbCaihodSFlon0oL","https://ap.wps.com/l/cbCaihodSFlon0oL","pdf",43721,"English","# Problems\n## Total surface area including top and bottom\n## Volume in terms of pi\n# Answer Key","[{\"question\":\"How do you set up the surface area of a cylinder that includes the top and bottom?\",\"answer\":\"Use total surface area = 2πr^2 + 2πrh, where r is the radius and h is the height. The worksheet asks for the result in terms of pi.\"},{\"question\":\"What formula is used to find the volume of a cylinder in terms of pi?\",\"answer\":\"Use volume = πr^2h. The problems give a diameter (to get r) and a height, then ask for the volume in terms of pi.\"},{\"question\":\"Do the questions use different measurement units?\",\"answer\":\"Yes. The worksheet includes cylinders measured in inches, centimeters, feet, and meters, and each question requests the final answer in the corresponding unit system in terms of pi.\"}]","Volume and Surface Area of Cylinders - Solve each problem in terms of pi | PDF",1790804090]