Geometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can.

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1 Geometry Review Chapter 10: Volume PA Anchors: A; B2; C1 1. Name the geometric solid suggested by a frozen juice can. 2. Name the geometric solid suggested by a beach ball.. Name the geometric solid suggested by a funnel. [A] sphere [B] cube [C] cylinder [D] cone 4. Name the geometric solid suggested by a telephone pole. [A] cube [B] cylinder [C] sphere [D] cone 5. Find the volume of the right rectangular prism. 1 m 1 m 8 m 6. Find the volume of the right rectangular prism. 1 m 9 m m

2 7. Three right rectangular pie boxes are stacked as shown in the diagram. Find the volume of the entire stack if all the prism bases are squares. 4 in. 20 in. 28 in. 4 in. 4 in. 4 in. 8. Three right rectangular pie boxes are stacked as shown in the diagram. Find the volume of the entire stack if all the prism bases are squares. 6 in. 19 in. 1 in. 6 in. 6 in. 9 in. 9. Find the volume of the combined right rectangular prisms. 4 m 6 m 4 m 14 m 5 m

3 10. Find the volume of the combined right rectangular prisms. 2 m 7 m 5 m 16 m 7 m 11. Find the volume of the combined right rectangular prisms. 2 m 5 m m 18 m 6 m 12. Find the exact volume of the cylinder. 2 in 7 in 1. Find the exact volume of the cylinder. 4 in 11 in

4 14. Find the exact volume of the cylinder. 5 in 12 in Find the volume of the figure m 5 m.1 m.1 m m.1 m 5 m 7 m m 7 m 2.2 m 2.2 m 2 m 2.2 m m 9 m 17. Find the volume of the figure with base shown at left. The height of the figure is 8 centimeters. 5 cm cm 6 cm

5 18. Find the volume of the figure with base shown at left. The height of the figure is 7 feet. 12 ft 4 ft 8 ft Find the volume of the prism m 6 m m [A] 105. m [B] 414 m [C] 207 m [D] 9 m 20. [A] 168 m [B] 84 m [C] 42 m [D] 4 m 21 m 4 m 2 m

6 21. The oblique rectangular prism below has a height of 7 inches, a width of inches, and a length of 6 inches. Find the volume. h w l 22. Find the volume of the prism. 2 m 6 m m [A] 414 m [B] 207 m [C] 9 m [D] 105. m 2. Find the volume of the prism. 22 m 8 m 4 m [A] 176 m [B] 16 m [C] 52 m [D] 704 m

7 24. Find the volume of the pyramid whose base is shown and whose height is 5 feet. ft 5 ft ft ft 25. Find the volume of the pyramid whose base is shown and whose height is 4 centimeters. 2 cm 2 cm 2 cm 4 cm 26. Find the volume of the bottom of the partial cone. The height of the whole cone is 0 meters, and the height of the removed portion is 15 meters. Use 14.. (Round to the nearest tenth.) 10 m 20 m

8 27. Find the volume of the bottom of the partial cone. The height of the whole cone is 60 meters, and the height of the removed portion is 0 meters. Use 14.. (Round to the nearest tenth.) 20 m 40 m 28. Find the volume of the bottom of the partial cone. The height of the whole cone is 6 meters, and the height of the removed portion is 18 meters. Use 14.. (Round to the nearest tenth.) 12 m 24 m

9 29. Find the volume of the pyramid. 18 m 15 m 17 m 0. Find the volume of the pyramid. 14 m 1 m 15 m 1. Find the volume of the pyramid. 1 m 16 m 14 m

10 2. The base of a square pyramid has an area of 55.7 square centimeters. The height of the pyramid is 10.5 centimeters. Find the volume of the pyramid to the nearest tenth. [A] 58.5 cm [B] cm [C] cm [D] 66.2 cm. The base of a hexagonal pyramid has an area of 86.5 square feet. The height of the pyramid is 1.1 feet. Find the volume of the pyramid to the nearest tenth. [A] 11. ft [B] 11.2 ft [C] 77.7 ft [D] 99.6 ft 4. The base of an octagonal pyramid has an area of 85.1 square yards. The height of the pyramid is 19.7 yards. Find the volume of the pyramid to the nearest tenth. [A] yd [B] yd [C] yd [D] yd 5. Find the surface area of a sphere that has a diameter of 8 centimeters. Express your answer in terms of. 6. Find the surface area of a sphere that has a diameter of 10 centimeters. Express your answer in terms of.

11 7. Find the surface area of a sphere that has a diameter of 12 centimeters. Express your answer in terms of. 8. Find the surface area of a sphere that has a diameter of 20 centimeters. Express your answer in terms of. 9. A sphere has a surface area of 900 cubic inches. Find the volume of the sphere. 40. A sphere has a volume of 204 cubic inches. Find the surface area of the sphere. 41. A sphere has a surface area of 144 cubic inches. Find the volume of the sphere.

12 42. A sphere has a volume of 6 cubic inches. Find the surface area of the sphere. 4. A sphere has a surface area of 204 cubic inches. Find the volume of the sphere. 44. Find the surface area of a hemisphere with a radius of 9 meters. Express your answer in terms of. 9 m 45. Find the surface area of a hemisphere with a radius of meters. Express your answer in terms of. m 46. Find the surface area of a hemisphere with a radius of 8 meters. Express your answer in terms of. 8 m

13 47. Find the surface area of a hemisphere with a radius of 7 meters. Express your answer in terms of. 7 m 48. The shaded circle below has area 15 square meters. Find the surface area of the sphere. 49. The shaded circle below has area 16 square meters. Find the surface area of the sphere. 50. The shaded circle below has area 11 square meters. Find the surface area of the sphere.

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