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Problems vary by units (inches, centimeters, feet, meters) and require including or excluding circular top and bottom faces as described. 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If the answer is 90pi, write 90pi.\u003Cbr>1) Dave is wrapping foil around the entire outside of a cylindrical tin, including the top and bottom. The tin has a radius of 4 inches and a height of 8 inches. What is the surface area he covers, in square inches, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Wrapping paper completely covers a cylindrical gift box, including the top and bottom. The box has a diameter of 6 inches and a height of 6 inches. What is the surface area of the box, in square inches, in terms of pi? |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 3) | A cylindrical coffee mug has a radius of 3 centimeters and a height of 4\u003Cbr>centimeters. What is the volume of the mug, in cubic centimeters, in terms of pi? |  |  |  | 4.   |  |  |  |  |  |  |  |\n| 4) | A cylindrical trash can has a diameter of 14 inches and a height of 20 inches. Victor 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? |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |  |  |\n| 5) | A soup can is a cylinder with a radius of 5 centimeters and a height of 9 centimeters. What is the total surface area of the can, including the top and bottom, in square centimeters, in terms of pi? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 6) | A fuel drum is a cylinder with a radius of 5 feet and a height of 18 feet. What is the volume of the drum, in cubic feet, in terms of pi? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 7) | A concrete pillar is a cylinder with a radius of 7 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? |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |  |  |\n| 8) | A mug is shaped like a cylinder with a radius of 4 centimeters and a height of 12 centimeters. Cody paints the entire outside of the mug, including the top and bottom. What is the surface area he paints, in square centimeters, in terms of |  |  |  | 12.   |  |  |  |  |  |  |  |\n| 9) | pi?\u003Cbr>A glass jar is a cylinder with a radius of 3 inches and a height of 10 inches. Debby paints every surface of the jar, including the top and bottom. What is the surface area she paints, in square inches, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | A cylindrical fuel tank has a diameter of 8 meters and a height of 17 meters. What is the total surface area of the tank, including the top and bottom, in square meters, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | A hot tub is shaped like a cylinder with a diameter of 14 feet and a depth of 14 feet. What is the volume of the hot tub, in cubic feet, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | A water tower is a cylinder with a radius of 7 meters and a height of 21 meters. What is the total surface area of the tower, including the top and bottom, in square meters, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>9\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) Dave is wrapping foil around the entire outside of a cylindrical tin, including the top and bottom. The tin has a radius of 4 inches and a height of 8 inches. What is the surface area he covers, in square inches, in terms of pi? |  |  |  |  | Answers\u003Cbr>1.  96π  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Wrapping paper completely covers a cylindrical gift box, including the top and bottom. The box has a diameter of 6 inches and a height of 6 inches. What is the","cbCaiuulWy05bezl","https://ap.wps.com/l/cbCaiuulWy05bezl","pdf",44030,"English","# Volume and Surface Area of Cylinders - Word\n## Problems (Solve in terms of pi)\n## Answer Key","[{\"question\":\"How do you find the total surface area of a cylinder in these problems?\",\"answer\":\"Use the formulas for the cylinder’s lateral area plus the areas of the top and bottom circles when the prompt says to include them.\"},{\"question\":\"What does it mean to “solve each problem in terms of pi”?\",\"answer\":\"You express the final answer using pi (π), so numbers are written as multiples of π, such as 96π or 378π.\"},{\"question\":\"What formulas are used for the volume of a cylinder here?\",\"answer\":\"Use V = πr²h, where r is the radius and h is the height, matching the units stated in each problem.\"}]","Volume and Surface Area of Cylinders - Word | PDF",1790804101]