it's parabolic, ie the parabola passing through points (-2,0,0), (2,0,0) and (0,0,4)
might as well put my solution up to my model
it turns out to be 4Pi Units cubed
Z= 4 - x<SUP>2</SUP>- 4y<SUP>2</SUP>
integrating z with respect to y with limits - (1/2)*sqrt(4 -x<SUP>2</SUP>)
and...