Hi... again

I need to calculate the VOLUME of an elipse, but I have no idea how to do it... I assume it would require integration though.

The cross-sectional function for my elipse is:

and

which gives:

So as you can see, I'm trying to calculate the volume from 0 to 6 of this elipse.

I thought about calculating the volume of the full elipse, then find the proportion of volume i need, but that wouldnt work because it isnt a uniform shape... woudl it?

Thanks in advance.