Two parts to this problem:

1. Show that the area of the ellipse is ;

2. Find the volume enclosed by the ellipsoid by integrating the area of a horizontal cross section.

I can't find any similar examples in my textbook and I am really stumped on this one, I'm taking a guess that this is meant to be solved by double integrals? If so, I am terrible at setting those up >.< If someone could point me in the right direction for solving it would help a lot =)