Find the volume of the solid formed by rotating the region bounded by y-3z+2, y- 3z+4, y - -3z+38 and y--3z+ 40 about the following lines (1) about the z-axis, the volume is (2) about the y-axis, the volume is

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Find the volume of the solid formed by rotating the region bounded by y = 3z+2, y = 3z+4, y --31+38 and
y = -3z+ 40 about the following lines
(1) about the z-axis, the volume is |
(2) about the y-axis, the volume is
固
(3) about the line 3z+3y
0, the volume is
%3D
Transcribed Image Text:Find the volume of the solid formed by rotating the region bounded by y = 3z+2, y = 3z+4, y --31+38 and y = -3z+ 40 about the following lines (1) about the z-axis, the volume is | (2) about the y-axis, the volume is 固 (3) about the line 3z+3y 0, the volume is %3D
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