A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping all the content to a point 1 m from the top of the tank. 9800m (7-y)√6y-y²dy 6 9800 T (V³ - 13y² +42y)dy 9800m (7-y)√6y-y²dy 9800 T (7-y)(6y-y²)²dy

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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A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping all the content to a point 1 m from the top of the tank.
.6
9800m (7-y)√6y-y²dy
0
.6
9800 T f(x³ - 13y² +42y)dy
9800π (7-y)√6y-y²dy
9800 T (7-y)(6y-y²)²dy
0
Transcribed Image Text:A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping all the content to a point 1 m from the top of the tank. .6 9800m (7-y)√6y-y²dy 0 .6 9800 T f(x³ - 13y² +42y)dy 9800π (7-y)√6y-y²dy 9800 T (7-y)(6y-y²)²dy 0
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