Find the volume of the solid that results when the region enclosed by the curves is revolved about the y-axis. 1 – x² ,2 y = (x > 0), x = 0, y = 0, y = 4 x2 NOTE: Enter the exact answer. Volume

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Find the volume of the solid that results when the region enclosed by
the curves is revolved about the y-axis.
1 – x2
(х > 0), х — 0, у — 0, у %3D 4
x2
Y =
NOTE: Enter the exact answer.
Volume
Transcribed Image Text:Find the volume of the solid that results when the region enclosed by the curves is revolved about the y-axis. 1 – x2 (х > 0), х — 0, у — 0, у %3D 4 x2 Y = NOTE: Enter the exact answer. Volume
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