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Consider the hemispherical shell of inner radius 3 and outer radius 7. The mass density at...

Consider the hemispherical shell of inner radius 3 and outer radius 7. The mass density at any point P(x,y,z) is directly proportional to the square of the distance from P to the origin.

Set up an integral in an appropriate coordinate system for the moment of inertia about the z-axis. Simplify your integrand as much as possible, but do not evaluate the integral.

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