Use spherical coordinates. Let H be a solid hemisphere of radius 1 whose density at any point is proportional to its distance from the center of the base. (Let K be the constant of proportionality.) (a) Find the mass of H. S (b) Find the center of mass of H. (Assume the upper hemisphere of a sphere centered at the origin.) (;,;,;)-( ) (c) Find the moment of inertia of H about its axis