Lesson Master 10-6B
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Name
10-6B Lesson Master
Questions on SPUR Objectives See Student Edition pages 642–645 for objectives.
SKILLS Objective C r
1. Refer to the sphere and the cylinder containing two cones shown at the right. r
a. Inside the cylinder, shade the space that has the same volume as the sphere.
r
b. Complete the following. Given a cylinder with radius r and height 2r containing two cones each with radius r and height r, the volume of a sphere with radius r is equal to the volume of
2r
minus
the volume of
.
In 2–4, draw the sphere with the given dimension. Then find its volume. 2. radius = 18 mm
3. radius = 1.5 cm
4. diameter = 1 inch
a. Find the volume of the sphere to the nearest cubic inch. b. Find the volume of the sphere to the nearest tenth of a cubic foot. 6. The circumference of a great circle of a sphere is 28π cm. What is its volume?
520
Copyright © Wright Group/McGraw-Hill
5. The radius of a sphere is 26 inches.
Geometry
SMP_LMGEO_C10_504-524.indd 520
6/2/08 2:24:44 PM
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Name
10-6B
page 2
In 7–10, give the radius of the sphere with the given volume. Round inexact answers to the nearest tenth. 32 7. __ π cubic units 3
9. 52 ft3
8. 288π in3
10. 1262 m3
USES Objective J 11. Find the volume of each ball. a. tennis ball, 6.4 cm in diameter b. table-tennis ball, 3.8 cm in diameter c. baseball, 23.5 cm in circumference 12. A tank full of 15,000 in3 of air is to be used to inflate a beach ball with diameter 20 in., a basketball with diameter 9.5 in., and a volleyball with diameter 8 in. Does the tank contain enough air to fill all of the balls? 13. How many ounces of water are displaced if 120 glass marbles are dropped into a 20-gallon aquarium, and the diameter of each marble is __12 in.? (1 gallon = 231 cubic inches, 1 pint = 16 fluid ounces, 1 quart = 32 fluid ounces) 14. The diameter of an inflatable beach ball is 16 in. If a person blowing it up exhales 120 cubic inches of carbon dioxide with each breath, how many breaths will it take to fill the ball? Copyright © Wright Group/McGraw-Hill
15. A globe with a 16-cm radius just fits into a cube-shaped container. The rest of the container is filled with liquid. What is the volume of the liquid?
Geometry
SMP_LMGEO_C10_504-524.indd 521
521
6/2/08 2:24:45 PM
Answer Page
Name
10-6B Lesson Master
Questions on SPUR Objectives See Student Edition pages 642–645 for objectives.
SKILLS Objective C r
1. Refer to the sphere and the cylinder containing two cones shown at the right. r
a. Inside the cylinder, shade the space that has the same volume as the sphere.
r
b. Complete the following. Given a cylinder with radius r and height 2r containing two cones each with radius r and height r, the volume of a sphere with radius r is equal to the volume of
2r
minus
the volume of
.
In 2–4, draw the sphere with the given dimension. Then find its volume. 2. radius = 18 mm
3. radius = 1.5 cm
4. diameter = 1 inch
a. Find the volume of the sphere to the nearest cubic inch. b. Find the volume of the sphere to the nearest tenth of a cubic foot. 6. The circumference of a great circle of a sphere is 28π cm. What is its volume?
520
Copyright © Wright Group/McGraw-Hill
5. The radius of a sphere is 26 inches.
Geometry
SMP_LMGEO_C10_504-524.indd 520
6/2/08 2:24:44 PM
Back to Lesson 10-6
Answer Page
Name
10-6B
page 2
In 7–10, give the radius of the sphere with the given volume. Round inexact answers to the nearest tenth. 32 7. __ π cubic units 3
9. 52 ft3
8. 288π in3
10. 1262 m3
USES Objective J 11. Find the volume of each ball. a. tennis ball, 6.4 cm in diameter b. table-tennis ball, 3.8 cm in diameter c. baseball, 23.5 cm in circumference 12. A tank full of 15,000 in3 of air is to be used to inflate a beach ball with diameter 20 in., a basketball with diameter 9.5 in., and a volleyball with diameter 8 in. Does the tank contain enough air to fill all of the balls? 13. How many ounces of water are displaced if 120 glass marbles are dropped into a 20-gallon aquarium, and the diameter of each marble is __12 in.? (1 gallon = 231 cubic inches, 1 pint = 16 fluid ounces, 1 quart = 32 fluid ounces) 14. The diameter of an inflatable beach ball is 16 in. If a person blowing it up exhales 120 cubic inches of carbon dioxide with each breath, how many breaths will it take to fill the ball? Copyright © Wright Group/McGraw-Hill
15. A globe with a 16-cm radius just fits into a cube-shaped container. The rest of the container is filled with liquid. What is the volume of the liquid?
Geometry
SMP_LMGEO_C10_504-524.indd 521
521
6/2/08 2:24:45 PM
