# Moment of Inertia

1. Oct 15, 2004

### saksham

What is the Moment of inertia of a uniform cone about the axis joining the center of its base and its apex.
Iis it 3/10*(M*R^2) where M is the mass of the cone and R the radius of the base of the cone?

2. Oct 15, 2004

### Gokul43201

Staff Emeritus
That's correct.

It's not hard to figure out, if you know some calculus :

$$I_z = 2\pi\rho \int _0 ^h \int _0 ^{R(h-z)/h} r^2*r*dr*dz = \frac {3}{10}MR^2$$