Define moment of inertia,write its unit and dimensional formula.

(N/A) The moment of inertia $(I)$ of a rigid body about a given axis of rotation is defined as the sum of the products of the masses of its constituent particles and the square of their respective distances from the axis of rotation. Mathematically,$I = \sum m_i r_i^2$.
$1$. $SI$ Unit: The $SI$ unit of moment of inertia is $kg \cdot m^2$.
$2$. Dimensional Formula: Since $I = M \cdot L^2$,the dimensional formula is $[M^1 L^2 T^0]$.