Geometry C12 Review 6.

Find the volume of the figures.

1.

PREAP: DO NOT USE 5.2 km as the apothem!

7. 2.

3. 8.

9.

4.

10. 5.

11. 16.

17. 12.

18.

13.

14. 19.

15.

20.

21. A sphere has a volume of 7776π in3. What is the radius 33. Two prisms are similar. The ratio of their volumes is of the sphere? 8:27. The surface area of the smaller prism is 72 in2. Find the surface area of the larger prism. 22a. A sphere has a volume of 36π cm3. What is the radius and diameter of the sphere?

22b. A sphere has a volume of 45 ft3. What is the 34. The prisms are similar. approximate radius of the sphere? a. What is the scale factor?

23. The scale factor (ratio of sides) of two similar solids is b. What is the ratio of surface 3:7. What are the ratios of their surface areas and area? volumes? c. What is the ratio of volume?

d. Find the volume of the 24. The scale factor of two similar solids is 12:5. What are smaller prism. the ratios of their surface areas and volumes?

35. The prisms are similar.

25. The scale factor of two similar solids is 6:11. What are a. What is the scale factor? the ratios of their surface areas and volumes? b. What is the ratio of surface area?

26. The ratio of the volumes of two similar solids is c. What is the ratio of 343:2197. What is the scale factor (ratio of sides)? volume?

d. Find the volume of the larger cone. 27. The ratio of the volumes of two similar solids is 216:1. What is the scale factor (ratio of sides)?? 36. The two pyramids are similar. Find the missing side length of Pyramid B.

28. The ratio of the volumes of two similar solids is 1024:432. What is the scale factor (ratio of sides)?

29. The ratio of the volumes of two similar solids is 2744:27. What is the ratio of their surface areas?

30. The ratio of the volumes of two similar prisms is 125:1728. What is the ratio of their surface areas? PREAP ONLY

37. Find the volume of a regular pentagonal prism with a height of 10 cm and a side length (of the pentagon) is 8 cm. 31. Two cones are similar. The diameter of the larger cone is 15 meters and the diameter of the smaller cone is 6 38. A cylinder with a diameter of 14 centimeters has a meters. The volume of the larger cone is 60π m3. Find the volume of 294π cubic centimeters. Find the height of the volume of the smaller cone. cylinder.

39. The volume of a square pyramid is 720 in3 and the height is 10 in. Find the side length of the base. 32. Two prisms are similar. The ratio of their surface areas is 81:121. The volume of the smaller prism is 180 in3. Find the volume of the larger prism.