Integration - work required to empty the tank

A tank in the shape of an inverted right circular cone has height 11 meters and radius 20 meters. It is filled with 1 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is:

http://latex.codecogs.com/gif.latex?...201480kg/m%5E3

To find the area of the circle: r/h = 20/11. Solved for r: 20h/11. The thickness is taken care of by dy in the integral. Gravity taken into account and density is in there.

http://latex.codecogs.com/gif.latex?...7D%7D%29%5E2dy

The integral is from, I think, 1 to 11. I don't know if I am on the right track, or what to do from here. Taking the antiderivative of this leaves me with an h and other stuff, but I don't think the integral is correct to begin with.

Thanks.