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

Question

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 (A) (3h/4) (B) (h2/4R) (C) (5h/8) (D) (3h2/8R)

Tardigrade Admin · Accepted Answer

Centre of mass of uniform solid cone of height h is at a height of (h/4) from base. Therefore from vertex it's (3 h/4).

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

$\frac{3 h}{4}$

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

$\frac{5 h}{8}$

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

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

Q. 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

43h​

4Rh2​

85h​

8R3h2​