Volumes of 3D and Composite Figures: LT 6.7
Name _________________________ Date ________________ Class ______________
Visualization Suppose you revolve the plane region completely about the
given line to sweep out a solid of revolution. Describe the solid and find its
surface area in terms of π.
1. the x-axis
2. the y-axis
3. the line x = 3
4. the line y = 2
Visualization Suppose you revolve the plane region completely about
the given line to sweep out a solid of revolution. Describe the solid.
Then find its surface area in terms of π. Round to the nearest tenth.
5. about the y-axis
6. about the x-axis
7. about the line x = 2
Visualization Suppose you revolve the plane region completely about the given line to sweep out a
solid of revolution. Describe the solid. Then find its volume in terms of π.
8. the x-axis
9. the y-axis
10. the line x = 3
Volumes of 3D and Composite Figures: LT 6.7
Find the volume of each composite figure to the nearest whole number.
11.
12.
13.
14. Most golf balls consist of three concentric spheres: a liquid-filled
center, elastic windings, and a dimpled cover. The size and materials
of these three components vary for each type of golf ball. A specific
type of golf ball has radius 0.84375 in. The center of the golf ball has
radius 0.565 in., and the cover has thickness 0.05 in.
a. What is the volume of the liquid-filled center to the nearest hunderth?
b. What is the volume of the elastic winding to the nearest hundreth?
c. What is the volume of the outside cover to the nearest thousandth?
Find the volume of each composite figure to the nearest whole number.
15.
16.