Just needing to check an answer really. The question is as follows; The domain bounded by the surface of a paraboloid z=2-x^2-y^2 and that of a cone z^2=x^2+y^2 is given by D = ( x,y,z : x^2+y^2 [tex]\leq[/tex] 1, sqrt(x^2+y^2) [tex]\leq[/tex] z [tex]\leq[/tex] 2-x^2-y^2 ). Find its volume using the appropriate coordinate system. I've used cylindrical coordinates for this problem and found the answer to be (5*Pi)/6. Can anyone tell me if this is actually correct or have a made a mistake somewhere along the way? Thanks!