question about triple integral with spherical coordinates

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Find the volume of the solid E which is located outside the circular cone $x^2 + y^2 = (z − 1)^2$ and between the planes $z = 0$ and $z = 2$. This is not hard problem as I know. I am trying to convert to E to spherical coordinates and integral.

For that $0<\rho<2$, I have trouble to get $\phi$ and $\theta$ algebraically not graphically. Any help will be appreciated.