Use the shell method to find the volume of the solid generated by revolving the region bounded by x = 6√√y, x= -y, and y=2 about the x-axis. The volume of the solid generated by revolving the region bounded by x=6√y, x=-y, and y = 2 about the x-axis 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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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x=6₁√y.x=-y₁
Use the shell method to find the volume of the solid generated by revolving the region bounded by x =
and y = 2 about the x-axis.
The volume of the solid generated by revolving the region bounded by x=6√y, x= -y, and y = 2 about the x-axis is
cubic units.
(Type an exact answer, using as needed.)
Transcribed Image Text:x=6₁√y.x=-y₁ Use the shell method to find the volume of the solid generated by revolving the region bounded by x = and y = 2 about the x-axis. The volume of the solid generated by revolving the region bounded by x=6√y, x= -y, and y = 2 about the x-axis is cubic units. (Type an exact answer, using as needed.)
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