A solid hemisphere and a hemisphereical shell are joined as shown. Both of them has mass `m//2` individually. Find out moment of inertia about axis `I_(1),I_(2)`.

Options

A. `(8mR^(2))/(15)`
B. `(2)/(7)mR^(2)`
C. `(2)/(5)mR^(2)`
D. `(2)/(3) mR^(2)`

Answer

A

Explanation

`(2)/(5)((m)/(2))R^(2)+(2)/(3)((m)/(2))R^(2)=(8mR^(2))/(15)`