# Need help commputing double integral and volume

• Mar 10th 2013, 08:49 PM
lytwynk
Need help commputing double integral and volume
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-y2 and above z=x2...

2) Find the volume inside the cylinder x2 + 2y2 = 8, above the plane z=y-4, and below the plane z=8-x...

Any help is really appreciated.
• Mar 10th 2013, 09:46 PM
chiro
Re: Need help commputing double integral and volume
Hey lytwynk.

Hint: The first thing you have to do is find the region that these two objects intersect. Can you find them?
• Mar 10th 2013, 10:12 PM
lytwynk
Re: Need help commputing double integral and volume
For 1) wont they intersect where x^2+y^2 =1? And for 2) im not really sure...
• Mar 11th 2013, 08:28 PM
lytwynk
Re: Need help commputing double integral and volume
Hello, I am still having troubles. I can't find the region that these objects intersect in. For question one I think they will intersect over a rectangle that I think will have an cross section area of 4y*sqrt(1-y^2) but then I am having trouble integrating it. Is this even right? I really have no clue how to do this stuff.