A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

Options

A. `(2MR^(2))/(3)+(Ml^(2))/(12)`
B. `(MR^(2))/(3)+(Ml^(2))/(12)`
C. `(3MR^(2))/(4)+(Ml^(2))/(12)`
D. `(MR^(2))/(4)+(Ml^(2))/(12)`

Answer

D

Explanation

`I_(C )=(MR^(2))/(4)+(Ml^(2))/(12)`
`I_(C )=(Ml^(2))/(12)+(MR^(2))/(4)`