how do we calculate the moment of inertia of a solid cone?

Hi Deepak,

Divide the Cone into Infinitesimal Discs as shown in the figure

Now calculate the Moment of Inertia of this disc using sdn as the nass and a proportional radius of t6his disc of infinitesimal thickness found using similar triangles

Then integrate using

the following formula

I = ∫r²dm

In this case r would be varying and so you have to determine dm in terms of r and dr

Then integrate over the whole cone

Regards