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4. Consider a spherical ring, which is a sphere of radius 4 with a cylindrical hole cut so that the axis of the cylinder of
4. Consider a spherical ring, which is a sphere of radius 4 with a cylindrical hole cut so that the axis of the cylinder of radius 2 passes through the center of the sphere. See figure. Set up the definite integrals that will solve for the volume of the given ring using (a) double integrals in Cartesian coordinates (b) triple integrals in Cartesian coordinates (c) double integral in polar coordinates (d) triple integrals in cylindrical coordinates Evaluate item (b) or (d). Choose only one
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