Originally Posted by

**imagemania** Question:

The volume V between

$\displaystyle z = \frac{5{x}^{2} + 3{y}^{2}}{R}$

And the x, y plane (z = xy?)

What is the volume of this region?

Thoughts?

$\displaystyle \iiint dV = \iiint dx dy dz $

Given that this is a paraboloid (3D) im not too sure how to approach it. I guess it just wants the volume of the paraboloid not entirely sure if the z = xy changes anything seeming the paraboloid doesn't go into negative z anyway?

Any help on how i should approach and deal with this is much appreciated!