12.6 Spheres

Name _______________________

Worksheet Elaborate 1. The diameter of a baseball is 7.4 cm. a. Find the surface area to the nearest tenth of a square cm. b. Find the volume of the baseball to the nearest tenth of a cubic cm.

2. The diameter of a golf ball is 4.3 cm. a. Find the surface area to the nearest tenth of a square cm. b. Find the volume of the golf ball to the nearest tenth of a cubic cm.

3.

Each tennis ball is a sphere with radius 3.4 cm. a. Find the surface area of 3 tennis balls to the nearest tenth of a square cm. b. Find the volume of 3 tennis balls to the nearest tenth of a cubic cm.

4. A spherical watermelon has a 12 in. diameter. The volume of a particular spherical cantaloupe (melon) is

1 of the volume of the watermelon. Find the diameter of 2

the cantaloupe to the nearest tenth of an inch.

5. For the sun to collapse to a “black hole,” it would have to be compressed into a sphere with radius of 1 kilometer. a. What would be its surface area? b. What would be its volume?

6. On July 16, 1882, a massive thunderstorm over Dubuque, Iowa, produced huge hailstones. The diameter of some of the hailstones was 17 in. Ice weighs about 0.033lb/in 3 . What was the approximate weight of one of these hailstones to the nearest tenth pound?

Page 1 of 2

7. Name the solid formed by rotating the semicircle 360° about the x-axis. Find the surface area and volume of the solid.

8. Find the surface area and volume of a sphere with diameter 18 inches.

9.

If the surface area of a sphere is 9π, find its volume.

10. Find the volume to the given capsule. If it has a radius of 6 in and a total height of 24 in.

24 in

11. A stick of Sure Solid deodorant is shown to the right. Find the amount of material (surface area) needed to construct the container.

Sure

10cm

3cm 12. The sphere just fits in a cube with edges 12 in. long. a. What is the radius of the sphere? b. What is the volume of the space between the sphere and Cube (exact answer only)?

Page 2 of 2

WS 12.6 Spheres Elaborate.pdf

On July 16, 1882, a massive thunderstorm over Dubuque, Iowa, produced huge. hailstones. The diameter of some of the hailstones was 17 in. Ice weighs.

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