A vertical cylindrical tank of diameter 3 ft. and height 6 ft. is full of water (weighing 62.5 $\displaystyle lb/ft^3$ ).

Find the work required to pump the water out over the top of the tank. Leave $\displaystyle \pi$ in your answer!

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- Feb 22nd 2010, 02:14 PMSelimCylindrical tank
A vertical cylindrical tank of diameter 3 ft. and height 6 ft. is full of water (weighing 62.5 $\displaystyle lb/ft^3$ ).

Find the work required to pump the water out over the top of the tank. Leave $\displaystyle \pi$ in your answer! - Feb 22nd 2010, 02:34 PMSelim
**Or would it be better to try it like this?**

$\displaystyle \int(0 - y) * 3) * dV$ from -6 to 0

This comes out to 3375 inches-pounds from the diameter and the arbitrary cross section to for the height variable but then is mutiplied by $\displaystyle 13.5\pi.$

Can someone please check this? I don't feel at all good about it :(

And I'm not even sure if I accounted for three dimensions there? - Feb 22nd 2010, 04:36 PMskeeter