The total volume of atoms present in a fcc unit cell of a metal radius r is

(a) (12/3)πr3
(b) (20/3)πr3
(c) (16/3)πr3
(d) (24/3)πr3
Correct option: (c) (16/3)πr3
Volume occupied by one atom of radius r= (4/3)πr3
In fcc unit cell, 4 atoms present.
The total volume occupied by the atoms present in fcc (face centred cubic) unit cell = 4 x (4/3)πr3 = (16/3)πr3

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