4. As noted by Baron Cauchy in 1827, the simplest object with three distinct principal moments of inertia is a uniform-density triaxial ellipsoid, with mass M and semiaxes a >b> c. i.e., bounded by the surface y2 22 a²+62 +2 = 1 In this coordinate system, the z, y, and z axes are the principal axes of the object, through its center of mass at the origin. Calculate the principal moments of inertia of this ellipsoid, in terms of its mass M and the semiaxes a, b, and c.