Let H be a solid region given by z2 Vz? + y? and x2 + y? + z? < 6 whose density at any point is given by f (x, y, z) = = Vx2 + y² + z² Use spherical coordinates to find the following. (a) Find the mass of the above region. (b) Find z, the z- coordinate of the center of mass of the above region. (a and y are obviously 0, so we don't ask about them).

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