The volume of the solid obtained by rotating the region bounded by 2y', y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral and B = with limits of integration a = In either case, the volume is V = cubic units.

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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The volume of the solid obtained by rotating the region bounded by
2y', y =
1, x = 0,
about the y-axis can be computed using the method of disks via an integral
with limits of integration a =
and b =
The volume of this solid can also be computed using cylindrical shells via an integral
and B =
with limits of integration a =
In either case, the volume is V =
cubic units.
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by 2y', y = 1, x = 0, about the y-axis can be computed using the method of disks via an integral with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral and B = with limits of integration a = In either case, the volume is V = cubic units.
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