A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumpir 9800 T + √² (7-y)√6y-y²dy 6 9800π S (y³ - 13y² + 42y)dy 6 9800 T (7-y)(6y-y²) ²dy 6 9800 (7-y)√6y-y²dy

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.86P: Determine the volume of the concrete arch dam.
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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.
9800 T
+ √²
(7-y)√6y-y²dy
6
9800π
S (y³ - 13y² + 42y)dy
6
9800 T
(7-y)(6y-y²)²dy
6
9800 T
(7-y)√6y-y²dy
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. 9800 T + √² (7-y)√6y-y²dy 6 9800π S (y³ - 13y² + 42y)dy 6 9800 T (7-y)(6y-y²)²dy 6 9800 T (7-y)√6y-y²dy
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