1) Distance of 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 A) $\frac{h^{2}}{4R}$ B) $\frac{3h}{4}$ C) $\frac{h^{2}}{R}$ D) $\frac{h}{4}$ Answer: Option BExplanation:We know that centre of mass of a uniform solid cone of height h is at height h/4 from base ,therefore $h-z_{0}=\frac{h}{4}$ $z_{0}=h-\frac{h}{4}=\frac{3h}{4}$