Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y = 5 − 2x2 and the x−axis. Cross-sections perpendicular to the y−axis are squares.

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 V of the described solid S.

The base of S is the region enclosed by the parabola
y = 5 − 2x2
and the x−axis. Cross-sections perpendicular to the y−axis are squares.
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