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 1m from the top of the tank. 6 9800 T (7-y)(6y-y²)²dy 6 9800 T (7-y)√6y-y²dy 0 9800 T + √² (7-y)√6y-y²dy .6 9800 T (y³ 13y² +42y)dy

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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
1m from the top of the tank.
6
9800 T
(7-y)(6y-y²)²dy
6
9800 T
(7-y)√6y-y²dy
0
9800 T
+ √²
(7-y)√6y-y²dy
.6
9800 T (y³ 13y² +42y)dy
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 1m from the top of the tank. 6 9800 T (7-y)(6y-y²)²dy 6 9800 T (7-y)√6y-y²dy 0 9800 T + √² (7-y)√6y-y²dy .6 9800 T (y³ 13y² +42y)dy
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