0 (r sin θ + z)r dz dr dθ (b) Let T be the solid ball of radius 1 centered at (2, 0, 0). Set up, but do not evaluate, a triple integral in spherical coordinates which computes the moment of inertia of T around the z-axis. Hint: First consider the change of variables u = x − 2, v = y, w = z. Solution. After the change of variables, the sphere takes the form u+v+w = 1, and the z-axis becomes the ...