Consider the part of the solid...

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Homework #10 Solutions Math 23, Fall 2014 1. Consider the part of the solid sphere x 2 + y 2 + z 2 4 contained in the first octant (the first octant is the region satisfying x 0 , y 0 , and z 0 ). Integrate z over this region in space.
2. Consider the “hollow ball” determined by 1 x 2 + y 2 + z 2 9 , and suppose that it has density given by the distance to the origin. Find the moment of inertia about the z -axis of this hollow ball.

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