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The volume of the solid obtained by rotating the region bounded by x = 3y, y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral V a ? with limits of integration a = and b The volume of this solid can also be computed using cylindrical shells via an integral V with limits of integration a = and B = In either case, the volume is V cubic units.

The volume of the solid obtained by rotating the region bounded by x = 3y, y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral V a ? with limits of integration a = and b The volume of this solid can also be computed using cylindrical shells via an integral V with limits of integration a = and B = In either case, the volume is V cubic units.

Elementary Geometry For College Students, 7e
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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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The volume of the solid obtained by rotating the region bounded by x = 3y°, y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral V with limits of integration a = and b The volume of this solid can also be computed using cylindrical shells via an integral v- V = ? : with limits of integration a = and B In either case, the volume is V = cubic units.
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by x = 3y°, y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral V with limits of integration a = and b The volume of this solid can also be computed using cylindrical shells via an integral v- V = ? : with limits of integration a = and B In either case, the volume is V = cubic units.
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