Find the volume of the region between the cylinder z = 2y² and the xy-plane that is bounded by the planes x=0, x=2, y = -2, and y = 2. The volume is (Type a simplified fraction.)

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 20E
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Find the volume of the region between the
cylinder z = 2y² and the xy-plane that is bounded
by the planes x=0, x=2, y = -2, and y = 2.
The volume is
(Type a simplified fraction.)
Transcribed Image Text:Find the volume of the region between the cylinder z = 2y² and the xy-plane that is bounded by the planes x=0, x=2, y = -2, and y = 2. The volume is (Type a simplified fraction.)
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