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Work required to pump water out of conical tank 
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#1
Jun1410, 09:37 PM

P: 18

1. The problem statement, all variables and given/known data
Find the work done in pumping all the water out of a conical reservoir of radius 10ft at the top and altitude 8ft if at the beginning the reservoir is filled to a depth of 5ft and the water is pumped just to the top of the reservoir. 2. Relevant equations None 3. The attempt at a solution This is my work so far. I am taking the integral from 8 to 3. The top center of the cone is on (0,0). I have the integral going from 8 to 3 of (100 pi) *(62.4) (0y) dy. The 100 is from the radius squared. The (0y) is the distance the water has to travel up any given y. Any help? 


#2
Jun1410, 10:03 PM

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You want to integrate pi*r^2*(y)*dy from 8 to 3, right? So you want to express r as a function of y, don't you? Why are you using 100, the radius squared at the top and where did 62.4 come from?



#3
Jun1410, 10:22 PM

P: 18

8y is the distance the water has to travel given the generic y and on each of those y's the radius will be 5/4 of the y term. Is this right? I am solving for work and 62.4 is my density for water 


#4
Jun1410, 10:26 PM

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P: 25,228

Work required to pump water out of conical tank



#5
Jun1410, 10:55 PM

P: 18

Awesome, thanks a lot for your help.



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