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  4. Distance of the centre of mass of a solid uniform cone from its vertex is z0 If the radius of its base is R and its height is h, then z0 is equal to

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Q. Distance of the centre of mass of a solid uniform cone from its vertex is $z_0$ If the radius of its base is $R$ and its height is $h$, then $z_0$ is equal to

JEE MainJEE Main 2015System of Particles and Rotational Motion

Solution:

Centre of mass of uniform solid cone of height $h$ is at a height of $\frac{h}{4}$ from base. Therefore from vertex it's $\frac{3 h}{4}$.