Find the moment of inertia of a cylinder of mass `M`, radius `R` and length `L` about an axis passing through its centre and perpendicular to its symmetry axis. Do this by integrating an elemental disc along the length of the cylinder.

Options

A. `2MR^(2)`
B. `MR^(2)//2`
C. `M(R^(2)//4+L^(2)//12)`
D. `ML^(2)//12`

Answer

A