I don't feel very confident with this concept.

Suppose R is the region bounded byy=x^{2},x= 2, andy= 0

1) Find the volume of a solid that is generated by revolvingRabout the. - I believe I did this one correctly, but I want to be sure. I got 32pi/5.x-axis

2) (same) ... revolvingRabout the. - I feel the same about this one. I got 8pi.y-axis

3) ... revolvingRabout.y= -3

4) ... revolvingRaboutx= 3.

For 3 and 4, I've tried setting up the integrals a few different ways, but I don't think any of them are right.

If someone could help me set these up or give me some tips & verify that the first two are correct, I'd be eternally grateful.