A solid is obtained by rotating the shaded region about the specified line. about the x-axis y 6 y=√x V= 10 2ny 15 y-20-x (a) Set up an integral using the method of cylindrical shells for the volume of the solid. -T² dy 20 25 (b) Evaluate the integral to find the volume of the solid.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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503
A solid is obtained by rotating the shaded region about the specified line.
about the x-axis
PTA
T-TP/-T/T-
M
y
6
F1
5
4
V =
10
y=√x
4-
(a) Set up an integral using the method of cylindrical shells for the volume of the solid.
2ny
F2
10
15
(b) Evaluate the integral to find the volume of the solid.
رطب | 0 •
+
F3
dy
y=20-x
20
F4
25
с
F5
2
F6
F7
B
FA
8
Transcribed Image Text:503 A solid is obtained by rotating the shaded region about the specified line. about the x-axis PTA T-TP/-T/T- M y 6 F1 5 4 V = 10 y=√x 4- (a) Set up an integral using the method of cylindrical shells for the volume of the solid. 2ny F2 10 15 (b) Evaluate the integral to find the volume of the solid. رطب | 0 • + F3 dy y=20-x 20 F4 25 с F5 2 F6 F7 B FA 8
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