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Distance of the centre of mass

Question:

Distance of the centre of mass of a solid uniform cone from its vertex is $z_{0}$. If the radius of its base is $\mathrm{R}$ and its height is $\mathrm{h}$ then $\mathrm{z}_{0}$ is equal to :-

  1. $\frac{5 h}{8}$

  2. $\frac{3 h^{2}}{8 R}$

  3. $\frac{h^{2}}{4 R}$

  4. $\frac{3 \mathrm{~h}}{4}$

Correct Option: , 4

Solution:

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