# Volume of a solid bounded by a paraboloid and the x-y plane

1. Apr 8, 2016

### NZBRU

1. The problem statement, all variables and given/known data

So I am trying to accomplish the above by using spherical coordinates, I am aware the problem may be solved using dv=dxdydz= zdxdy were z is known but I would like to try it using a different approach (using spherical coordinates). Any help would be greatly appreciated

2. Relevant equations

3. The attempt at a solution

2. Apr 8, 2016

### blue_leaf77

Judging from the integration limit, it can already be seen that your approach is misleading. In fact, you are just calculating the volume of a sphere of radius $\sqrt{3}$.