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If the answer is 90pi, write 90pi.\u003Cbr>1) A metal storage tank is a cylinder with a radius of 2 feet and a height of 12 feet. What is the total surface area of the tank, including the top and bottom, in square feet, in terms of pi?\u003Cbr>2) Jerry is wrapping foil around the entire outside of a cylindrical tin, including the top and bottom. The tin has a radius of 5 inches and a height of 6 inches. What is the surface area he covers, in square inches, in terms of pi?\u003Cbr>3) A rain barrel is shaped like a cylinder with a diameter of 6 feet and a height of 8 feet. What is the volume of the barrel, in cubic feet, in terms of pi?\u003Cbr>4) A coffee mug is a cylinder with a radius of 4 centimeters and a height of 6 centimeters. What is the volume of the mug, in cubic centimeters, in terms of pi?\u003Cbr>5) A thermos is shaped like a cylinder with a radius of 6 inches and a height of 4 inches. What is the volume of the thermos, in cubic inches, in terms of pi?\u003Cbr>6) A soup can is a cylinder with a radius of 3 centimeters and a height of 15 centimeters. What is the total surface area of the can, including the top and bottom, in square centimeters, in terms of pi?\u003Cbr>7) A cylindrical trash can has a diameter of 12 inches and a height of 18 inches. Henry covers every surface of the can, including the top and bottom. What is the surface area he covers, in square inches, in terms of pi?\u003Cbr>8) Paul is labeling the entire outside of a paint can, including the top and bottom. The can has a radius of 5 inches and a height of 14 inches. What is the surface area of the can, in square inches, in terms of pi?\u003Cbr>9) A rain barrel is a cylinder with a diameter of 10 feet and a height of 21 feet. What is the volume of the rain barrel, in cubic feet, in terms of pi?\u003Cbr>10) A fuel drum is shaped like a cylinder with a radius of 2 feet and a height of 13 feet. What is the volume of the drum, in cubic feet, in terms of pi?\u003Cbr>11) A hot tub is shaped like a cylinder with a diameter of 8 feet and a depth of 5 feet. What is the volume of the hot tub, in cubic feet, in terms of pi?\u003Cbr>12) A cylindrical bucket has a diameter of 4 inches and a height of 18 inches. What is the volume of the bucket, 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>10\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 metal storage tank is a cylinder with a radius of 2 feet and a height of 12 feet. What is the total surface area of the tank, including the top and bottom, in square feet, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.  56π  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Jerry is wrapping foil around the entire outside of a cylindrical tin, including the top and bottom. The tin has a radius of 5 inches and a height of 6 inches. What is the surface area he covers, in square inches, in terms of pi? |  |  |  | 2.  110π \u003Cbr>3.  72π  |  |  |  |  |  |  |  |\n| 3) | A rain barrel is shaped like a cylinder with a diameter of 6 feet and a height of 8 feet. What is the volume of the barrel, in cubic feet, in terms of pi? |  |  |  | 4.  96π  |  |  |  |  |  |  |  |\n| 4) | A coffee mug is a cylinder with a radius of 4 centimeters and a height of 6 centimeters. What is the volume of the mug, in cubic centimeters, in terms of pi? |  |  |  | 5.  144π \u003Cbr>6.  108π  |  |  |  |  |  |  |  |\n| 5) | A thermos is shaped like a cylinder with a radius of 6 inches and a height of 4 in","cbCaiuQlQGEVdEBG","https://ap.wps.com/l/cbCaiuQlQGEVdEBG","pdf",43778,"English","# Cylinder problems\n## Total surface area (including top and bottom)\n## Volume in cubic units","[{\"question\":\"When finding total surface area, do the problems include the top and bottom of the cylinder?\",\"answer\":\"Yes. The prompts specify total surface area including the top and bottom for the relevant items.\"},{\"question\":\"Are all answers required to be written in terms of π?\",\"answer\":\"Yes. The instructions require answers expressed in terms of pi (π), including cases like 90π.\"},{\"question\":\"What measurements are given to compute each cylinder’s volume or surface area?\",\"answer\":\"Each problem provides either radius or diameter plus height (or depth), which are then used to compute volume and/or total surface area in the requested units.\"}]","Volume and Surface Area of Cylinders - Solve each problem in terms of pi | PDF",1790804081]