i have to find the triple integral of 1+x/(x^2+y^2)^(1/2) dx dy dz where S is the solid bounded by the paraboloids z=x^2+y^2 and z=1-x^2-y^2.

this is as far as i have gotten:

F(r,theta,z)=(r*cos(theta),r*sin(theta),z)

abs(det(JF))=r

so now i have the triple integral of r(1+cos(theta)) dz dr dtheta.

but how do i find the limits of integration?