Moment of inertia of a solid cylinder of length L and diameter D about an axis passing through its centre of gravity and perpendicular to its geometric axis is

Options

A. `M((D^(2))/(4)+(L^(2))/(12))`
B. `M((L^(2))/(16)+(D^(2))/(8))`
C. `M((D^(2))/(4)+(L^(2))/(6))`
D. `M((L^(2))/(12)+(D^(2))/(16))`

Answer

D

Explanation

Required moment of inertia,
`l=MM((L^(2))/(12)+(r^(2))/(4))=M((L^(2))/(12)+(D^(2))/(16))`