# Prove that the moment of inertia of a cone is #I=3/10mr^2# with respect of its axis continuing through mass center? h=height; radius of base =r

##### 1 Answer

Aug 9, 2017

See the proof below

#### Explanation:

The mass of the elemental disc is

The density of the cone is

Therefore,

But

The moment of inertia of the elemental disc about the

Integrating both sides,