Question

Moment of inertia of a cone about vertex rotating about an axis parallel to its base

Answer 1

Moment of inertia of a cone for the given system arrangement and axis, will be 3MR^2/10, where M is the mass of the cone and R is the radius of the circular base.

For proof, you can search on the web or any other IIT JEE physics preparation book like BM Sharma, etc.