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Use spherical coordinates to find the volume of the region bounded by the sphere \( \rho=18 \cos \ ...
Use spherical coordinates to find the volume of the region bounded by the sphere \( \rho=18 \cos \varphi \) and the hemisphere \( \rho=9, z \geq 0 \). The volume of the region bounded by the sphere and the hemisphere is (Type an exact answer, using \( \pi \) as needed.)