The volume of the solid obtained by rotating the region bounded by y = x?, y = 6x, about the line x = 6 can be computed using the method of washers via an integral 9. V = pi(x^2-6х)^2 dx v a with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = dy v with limits of integration a = and B : In either case, the volume is V = cubic units.

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.CR: Review Exercises
Problem 22CR
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The volume of the solid obtained by rotating the region bounded by
y = x?,
y = 6x,
about the line x = 6 can be computed using the method of washers via an integral
9.
V =
pi(x^2-6х)^2
dx v
a
with limits of integration a =
and b =
The volume of this solid can also be computed using cylindrical shells via an integral
V =
dy v
with limits of integration a =
and B :
In either case, the volume is V =
cubic units.
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by y = x?, y = 6x, about the line x = 6 can be computed using the method of washers via an integral 9. V = pi(x^2-6х)^2 dx v a with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = dy v with limits of integration a = and B : In either case, the volume is V = cubic units.
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