Moment of Inertia of Uniform Cone: 3/10*M*R^2

[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?

 

[Gokul43201]

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