Minimum moment of inertia of a uniform body is `I` about and axis. The axis must be passing through `COM` of body.
Moment of inertia depends on distribution of mass about axis of rotation.

Moment of inertia of a uniform solid cylinder about an axis passing through the center and along the axis of the cylinder is

The moment of inertia of a body about a given axis of rotation depends upon :-

The moment of inertia of a body about a given axis of rotation depends upon :-

A Moment of inertial of uniform disc and solid cylinder of equal mass and equal radius about an axis passing through centre and perpendicluar to plane will to same. Moment of inertia depends upon distribution of mass from the axis of rotation i.e., perpendicular distance from the axis.

Moment of inertia of a thin uniform rod about an axis passing through the center of mass and perpendicular to the length is

Statement I : Moment of inertia of uniform disc and solid cylinder of equal mass and radius about an axis passing through the centre and perpendicular to the plane will be same. Statement II : Moment of inertia depends upon distribution of mass from the axis of rotation, i.e., perpendicular distance from the axis.

The moment of inertia of a thin uniform rod of mass M and length L about an axis perpendicular to the rod, through its centre is I. The moment of inertia of the rod about axis perpendicular to the rod through its end point is

Moment of inertia of a rigid body about an axis passing through its centre of mass is I_(0) and moment of inertia of the same body about another axis parallel to the first axis is I. Then

The moment of inertia of a rigid body is not unique , about a given axis. The moment of inertia of a rigid depends on axis about which it has to be calculated.