Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of the solid generated when R is revolved about the y-axis. (a) V = 87 cubic units (b) V=107 cubic units (c) V = 127 cubic units (d) V = 147 cubic units

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 1YT: YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region...
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Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of
the solid generated when R is revolved about the y-axis.
(a) V = 87 cubic units
(b) V=107 cubic units
(c) V = 127 cubic units
(d) V = 147 cubic units
Transcribed Image Text:Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of the solid generated when R is revolved about the y-axis. (a) V = 87 cubic units (b) V=107 cubic units (c) V = 127 cubic units (d) V = 147 cubic units
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