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!
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?