Centre Of Mass Of A Solid Cone - Practice Questions & MCQ

Have a look at the figure of a solid cone

Since it is symmetrical about y-axis  

So we can say that  its and

Now we will calculate its which is given by

So Take a small elemental disc of mass dm of radius r  at a vertical distance y from the bottom as shown in the figure.

So  

Here   

And from similar triangle

So,    from bottom O

Or, Centre of Mass of a solid cone will lie at distance from the tip of the cone.