Question

Moment of inertia of a cylinder along its length

Answer 1

MOMENT OF INTERIA
The moment of inertia of a solid 'cylinder' about its own axis is the same as its moment of inertia about an axis passing through its centre of gravity and perpendicular to its length the relation between its length L and Radius R is-.

Answer 2

$\textbf{\large{Answer -}}$

The moment of inertia of a cylinder along it's lenght is

$\boxed{I = \frac{3}{2}{mR}^{2}}$

Refer to the attachment for explanation.