Use the result of Exercise 45 to calculate the radius of gyration of a uniform sphere of radius R about any axis through the center of the sphere.

Data From Exercise 45 

Show that the moment of inertia of a sphere of radius R of total mass M with uniform mass density about any axis passing through the center of the sphere is 2/5 MR². Note that the mass density of the sphere is δ = M/(4/3 πR³).