A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 5 4 0 3 2 1 y=√x 5 2пу 10 y = 12-x (a) Set up an integral using the method of cylindrical shells for the volume of the solid. dy 15 X (b) Evaluate the integral to find the volume of the solid.

Elementary Geometry For College Students, 7e
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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 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...
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A solid is obtained by rotating the shaded region about the specified line.
about the x-axis
V =
y
10
+
3
2
y = √x
5
2пу
10
y = 12 - x
(a) Set up an integral using the method of cylindrical shells for the volume of the solid.
15
dy
X
(b) Evaluate the integral to find the volume of the solid.
Transcribed Image Text:A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 10 + 3 2 y = √x 5 2пу 10 y = 12 - x (a) Set up an integral using the method of cylindrical shells for the volume of the solid. 15 dy X (b) Evaluate the integral to find the volume of the solid.
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