The cylinder stands vertically. Radius = 4. Height = 20. The water level is 12. Weight of water = 62.4

The question is to determine how much work is need to drain the water from the cylinder.

My integral is:

Int(between 0 and 8). 62.4(pi(4)^2)(20-x)

When I solved this out i got 127795.2 pi

I just wanted to know if I did this right.