35. Find the volume of the “torus" (Figure 3), obtained by rotating the circle (x – a)? + y? = 6² (a > b) around the vertical axis. %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 33E: A solid is formed by cutting a conical section away from a right circular cylinder. If the radius...
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35. Find the volume of the "torus" (Figure 3), obtained by rotating the
circle (x - a)? + y? = 6? (a > b) around the vertical axis.
36. A cylindrical hole of radius a is bored through the center of a sphere of
radius 2a (Figure 4). Find the volume of the remaining solid.
2a
FIGURE 3
FIGURE 4
Transcribed Image Text:35. Find the volume of the "torus" (Figure 3), obtained by rotating the circle (x - a)? + y? = 6? (a > b) around the vertical axis. 36. A cylindrical hole of radius a is bored through the center of a sphere of radius 2a (Figure 4). Find the volume of the remaining solid. 2a FIGURE 3 FIGURE 4
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