Hello, I am doing the practice problems for my last lecture and I don't think these types of questions were covered even though I think they were supposed to be... Could you please help.

1) Find the volume of the solid under z=1-y^{2}and above z=x^{2}...

2) Find the volume inside the cylinder x^{2}+ 2y^{2}= 8, above the plane z=y-4, and below the plane z=8-x...

Any help is really appreciated.