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(4) (3 points) An ice cream cone occupies the space above the cone z = V3(x2 +y?) and under the sphere x2 + y2 +

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(4) (3 points) An "ice cream cone" occupies the space above the cone z = V3(x2 +y?) and under the sphere x2 + y2 + 22 = R2, (R > 0). (a) Assuming uniform density of ice cream, use spherical coordinates to find the center of mass of the solid 2. (b) Assuming the ice cream above the rim on the cone is half as dense as that below, use cylindrical coordinates to find the center of mass of the solid

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