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

The total moment of inertia is

Explanation:

From the question we are told that

   The diameter of the core is  

   The mass of the core is

   The mass of the shell is  

    The diameter of the shell is    

Generally the radius of the core is

=>

=>

Generally the radius of the shell is

=>

=>

Generally the total moment of inertia is mathematically represented as

Here is the moment of inertia of the core which is mathematically represented as

=>      

=>      

and   is the moment of inertia of the shell which is mathematically represented as

=>      

=>      

So

=>