Set-up a triple integral to determine the volume of the solid region bounded below
by the paraboloid
z=x^2 +y^2

and above by the sphere
x^2 + y^2 + z^2 = 2

Question

Set-up a triple integral to determine the volume of the solid region bounded below 
by the paraboloid 
 z=x^2 +y^2
 
and above by the sphere 
 x^2 + y^2 + z^2 = 2

terenzreignz · Answer

It might be more forgiving to use polar (cylindrical) coordinates with this one, you up for it?

terenzreignz · Answer

$$\huge \iiint\limits_{S}dV$$

anonymous · Answer

sure.. because I am not sure where to start

terenzreignz · Answer

Start with that. ^
When using a triple integral to evaluate a volume, you are basically solving a triple integral of a function equal to 1.

Now you just have to find the limits.

anonymous · Answer

by limits, do you mean the bounds?

terenzreignz · Answer

Yes.

anonymous · Answer

ok

terenzreignz · Answer

But I would suggest that you convert to polar.