Find the volume of the solid generated by revolving about the y-axis the region bounded by the given equations. x=y³/2₁ x = 0, and y = 8 The volume of the solid is cubic units. (Type an exact answer, using as needed.)

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 39E: Find the exact volume of the solid that results when the rectangular region with vertices at 0, 0,...
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Find the volume of the solid generated by revolving about the y-axis the region bounded by the given equations.
x=y³/2₁ x = 0, and y = 8
The volume of the solid is
cubic units.
(Type an exact answer, using as needed.)
Transcribed Image Text:Find the volume of the solid generated by revolving about the y-axis the region bounded by the given equations. x=y³/2₁ x = 0, and y = 8 The volume of the solid is cubic units. (Type an exact answer, using as needed.)
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