1. Surface Areas and Volumes of Spheres LESSON 12–6

2. Over Lesson 12–5 5-Minute Check 1 A.134.0 mm 3 B.157.0 mm 3 C.201.1 mm 3 D.402.1 mm 3 Find the volume of the cone. Round to the nearest tenth if necessary.

3. Over Lesson 12–5 5-Minute Check 2 A.36 ft 3 B.125 ft 3 C.180 ft 3 D.270 ft 3 Find the volume of the pyramid. Round to the nearest tenth if necessary.

4. Over Lesson 12–5 5-Minute Check 3 A.323.6 ft 3 B.358.1 ft 3 C.382.5 ft 3 D.428.1 ft 3 Find the volume of the cone. Round to the nearest tenth if necessary.

5. Over Lesson 12–5 5-Minute Check 5 A.192.6 m 3 B.237.5 m 3 C.269.7 m 3 D.385.2 m 3 Find the volume of a cone with a diameter of 8.4 meters and a height of 14.6 meters.

6. Then/Now You found surface areas of prisms and cylinders. Find surface areas of spheres. Find volumes of spheres.

7. Concept

8. Example 1 Surface Area of a Sphere Find the surface area of the sphere. Round to the nearest tenth.

9. Example 1 Find the surface area of the sphere. Round to the nearest tenth.

10. Example 2A Use Great Circles to Find Surface Area A. Find the surface area of the hemisphere.

11. Example 2B Use Great Circles to Find Surface Area B. Find the surface area of a sphere if the circumference of the great circle is 10  feet.

12. Example 2C Use Great Circles to Find Surface Area C. Find the surface area of a sphere if the area of the great circle is approximately 220 square meters.

13. Example 2A A. Find the surface area of the hemisphere.

14. Example 2C C. Find the surface area of the sphere if the area of the great circle is approximately 160 square meters.

15. Concept

16. Example 3A Volumes of Spheres and Hemispheres A. Find the volume a sphere with a great circle circumference of 30  centimeters. Round to the nearest tenth.

17. Example 3B Volumes of Spheres and Hemispheres B. Find the volume of the hemisphere with a diameter of 6 feet. Round to the nearest tenth.

18. Example 3A A. Find the volume of the sphere to the nearest tenth.

19. Example 3B B. Find the volume of the hemisphere to the nearest tenth.

20. Example 4 A.10.7 feet B.12.6 feet C.14.4 feet D.36.3 feet RECESS The jungle gym outside of Jada’s school is a perfect hemisphere. It has a volume of 4,000  cubic feet. What is the diameter of the jungle gym?