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:

Options

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

Answer

D

Explanation

`y_(cm)=(intydm)/(intdm)`
`=(underset(0)overset(h)intpir^(2)dyrhoxxy)/((1)/(3)piR^(2)hrho)=(3h)/(4)`