And compute it using simple geometric considerations. (2) (8 points) an "ice cream cone" occupies the space above the cone z = p x 2 + y 2 and under the sphere x 2 + y 2 + z 2 = 12. solve the following questions using spherical coordinates. (a) assuming uniform density of ice cream, find the center of mass of the solid. (b) assuming the ice cream above the rim on the cone is half as dense as that below, find the center of mass of the solid.