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Calculating Volume of Spherical Cap using triple integral in cylindrical coordinates and spherical coordinates

The proper integration limits in spherical coordinates are $$ \int_0^{2\pi} \int_0^{\pi/4} \int_{\sqrt{2}/\cos \phi}^2 \rho^2\sin \phi \, d\rho\, d\phi\, d\theta. $$ This will lead to the same value ...
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