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

Answer 1

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

Answer 2

\[\huge \iiint\limits_{S}dV\]

Answer 3

sure.. because I am not sure where to start

Answer 4

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.

Answer 5

by limits, do you mean the bounds?

Answer 6

Yes.

Answer 7

ok

Answer 8

But I would suggest that you convert to polar.