Kinetic Energy of Rotating Cone: Correct?

[Gabriele Pinna]

I would like to fine the kinetic energy of a cone that rotates around its symmetry axis.
I consider that the cone is formes by infinite cylinders with different radius and infinitesimal height. I end up with this result:
K=1/4w^2R^2hM
where w is the angular velocity R the radius h the height and M the mass of the cone.
Could you please tell me wheter or not this is correct ?

 

[berkeman]

I would like to fine the kinetic energy of a cone that rotates around its symmetry axis.
I consider that the cone is formes by infinite cylinders with different radius and infinitesimal height. I end up with this result:
K=3/28R^4Mw^2
where w is the angular velocity R the radius h the height and M the mass of the cone.
Could you please tell me wheter or not this is correct ?

You can check your value of I for a cone here: https://en.wikipedia.org/wiki/List_of_moments_of_inertia

 

[berkeman]

Thread closed for Moderation...

 

[berkeman]

The OP deleted their original question out of Post #1 after I replied (which is not allowed per the PF rules). The original post is restored, and the thread will remain closed.