I have no idea how to start this problem off. Just looking for a push in the right direction.

Find the capacity of a wine barrel with the shape of a solid that is obtained by revolving the region bounded by the graphs of $\displaystyle x = R - Ky^2, x = 0, y = -h/2 $, and $\displaystyle y = h/2$ about the y-axis.

I would assume the shell method would be easiest to use; however, I am probably wrong haha. Anyone got a few tips to get me started?