rotation is about the y-axis, so, using cylindrical shells ...
I am, but I am used to rotating it about the x-axis or y=something other than zero. So rotating it about x=something other than zero or the y-axis throws a wrench into my methods.
Normally I would just use the curve of the line as the radius and in the pi*r^2 equation right? Then subtract the smaller volume from the larger one and take the integral of that area right?