"Sketch the region bounded by the curves $\displaystyle y = x^ {\frac{3}{2}}$, y = 8, x = 0, and find the volume of the solid generated by revolving the region about the y-axis."

I've sketched the region, and can visualise what they're looking for with the rotation thing, but I don't know how one actually calculates it...

I'd suspect integration is needed, but I'm not sure exactly what I'm supposed to be integrating...