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 R and its height is h, then $z_0$ is equal to.

• A. $\frac{3h}{4}$
• B. $\frac{h^2}{4R}$
• C. $\frac{5h}{8}$
• D. $\frac{3h^2}{8R}$

Answer 1

The correct option is A $\frac{3h}{4}$

Position of center of mass of a solid cone from the base is $h/4$.

Thus position of centre of mass of a solid cone from the vertex $=h-\frac{h}{4}=\frac{3h}{4}$

So, here $z_o=\frac{3h}{4}$