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Centroid of a solid semi ellipsoid Assuming the result that the centroid of a solid hemisphere lies on the axis of symmetry three-eighths of the way from the base toward the top, show, by trans-

forming the appropriate integrals, that the center of mass of a solid semiellipsoid $\left(x^{2} / a^{2}\right)+\left(y^{2} / b^{2}\right)+\left(z^{2} / c^{2}\right) \leq 1, z \geq 0,$ lies on

the $z$ -axis three-eighths of the way from the base toward the top.

(You can do this without evaluating any of the integrals.)

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University of Colorado at Boulder