Question

Determine the moment of inertia of a 14.2 kg sphere of radius 0.567 m when the axis of rotation is through its center.

Answer 1

The moment of inertia (I) of a solid uniform sphere of radius r and mass m is
  I = (2/5)mr²
For your mass and radius, this is
  I = (2/5)(14.2 kg)(0.567 m)²
  I ≈ 1.826 kg·m²