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x2 + y2 + z2 = 2 which converts to p=Sqrt.(2) a sphere

and

z = x2 + y2, a parabloid which I converted to cot(phi)csc(phi)=p

I hope the greek letters for these are comonly used

x=psin(phi)cos(theta)

so far I have

V=SSS (p^2)sin(phi) dp d(theta) d(phi)

i know that theta goes from 0 to 2pi but how do I find the other limits?