How do I find the regions for the triple integral to calculate the mass of the the volume between the paraboloid x^2+y^2 = 2az and the sphere x^2+y^2+z^2=3a^2 with a density of d(x,y,z)=x^2+y^2+z^2?

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is that similar to finding the solution to a system of equations in order to compute that volume of a solid?

I didn't quite understand what you mean... To be more clear, I must find out the volume between the two objects, then calculate it's mass. (oh and a>0)

oh... so the sphere and the paraboloid arent intersecting are they...lol. Wrong concept on my part :)

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