A solid cylinder of mass m=kg
and radius R = cm
will have a moment of inertia about its central axis:

kg m^2

For a cylinder length of L = m, the moments of inertia of a cylinder about other axes are shown.

	kg m^2
	kg m^2

The moments of inertia for the limiting geometries with this mass are:

	kg m^2
	kg m^2

Show development of expressions

Hollow cylinder case

The expression for the moment of inertia of a hollow cylinder or hoop of finite thickness is obtained by the same process as that for a solid cylinder. The process involves adding up the moments of infinitesmally thin cylindrical shells. The only difference from the solid cylinder is that the integration takes place from the inner radius a to the outer radius b:

Show development of thin shell integral