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(Solved): Use spherical coordinates to find the volume of the region outside the cone \( \varphi=\pi / 4 \) ...
Use spherical coordinates to find the volume of the region outside the cone \( \varphi=\pi / 4 \) and inside the sphere \( \rho=5 \cos \varphi \). The volume is (Type an exact answer, using \( \pi \) as needed.)