Distance of the centre of mass of a solid uniform cone from its vertex is `z_0`. It the radius of its base is R and its height is h then `z_0` is equal to:

Options

A. `(5h)/(80`
B. `(3h^(2))/(8R)`
C. `(h^(2))/(4R)`
D. `(3h)/(4)`

Answer

A

Explanation

for solid cone c.m. is `(h)/(4)` from base
so `z_(0) = h - (h)/(4) = (3h)/(4)`