I would start by translating all the boundaries by 3 units up, so that you have the same region, but being rotated around the x axis. Then you can use cylindrical shells.
I have a problem trying to figure this one out. The questions basically asks for the volume of a solid using the washer method with these boundaries: x = 2, x + y = 4, and y = 1/2x^2 - 8, where the solid is revolved about x = -3. I have the solid drawn out but I'm not sure how to set up the integration. Thanks for the help.
Or should I use the cylindrical shell method?