Abowling ball is far from uniform. lightweight bowling balls are made of a relatively low-density core surrounded by a thin shell with much higher density. a 7.0 lb (3.2 kg) bowling ball has a diameter of 0.216 m; 0.196 m of this is a 1.6 kgcore, surrounded by a 1.6 kg shell. this composition gives the ball a higher moment of inertia than it would have if it were made of a uniform material. given the importance of the angular motion of the ball as it moves down the alley, this has real consequences for the game.(a)model a real bowling ball as a 0.196-m-diameter core with mass 1.6 kg plus a thin 1.6 kg shell with diameter 0.206 m (the average of the inner and outer diameters). what is the total moment of inertia? express your answer with the appropriate units.(b)find the moment of inertia of a uniform 3.2 kg ball with diameter 0.216 m. express your answer with the appropriate units.