Exercise 48

Set up, but do not evaluate, integral expressions for (a) the mass, (b) the center of mass, and (c) the moment of inertia about the z-axis. The hemisphere \(x^2 + y^2 + z^2 \le 1, z \ge 0\); \(\rho(x, y, z) = \sqrt{x^2 + y^2 + z^2}\).