Total volume of atoms present in a face centred cubic unit cell of a metal is (r=radius of atom)

Options

A. `(20)/(3) pi r^(3)`
B. `(24)/(3) pi r^(3)`
C. `(12)/(3) pi r^(3)`
D. `(16)/(3)pi r^(3)`

Answer

D

Explanation

`V=n xx ((4)/(3) pi r^(3)) =4 xx ((4)/(3) pi r^(3)) =(16)/(3) pi r^(3)`