Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specifled line. 27y = x3, y = 0, X = 6 about the line y = 8 8 2a(8 – y)(V27y )| V = dy

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
27y = x3, y = 0, x = 6
about the line y = 8
8
| 27(8– y)(V27y )
V =
dy
Transcribed Image Text:Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 27y = x3, y = 0, x = 6 about the line y = 8 8 | 27(8– y)(V27y ) V = dy
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