I thought the equation was simply:
I = mr^2 = (14.0)(0.645)2 = 5.82 kg*m^s
but that's not the answer.
Solution This solution is FREE courtesy of BrainMass!
Because it is a sphere, every point of the sphere has different radius respect to the center. Therefore, the correct formula of moment of inertia for a sphere is I=2*M*r^2/5=2.33( kg*m^s )