Chemistry - Solid State Question with Solution | TestHub

$\mathrm{a}=2\sqrt{2}\mathrm{r}$
Volume of the cell$={\mathrm{a}}^3=(2\sqrt{2}\mathrm{r}{)}^3=16\sqrt{2}{\mathrm{r}}^3$
Number of spheres in fcc$=8\times \frac{1}{8}+6\times \frac{1}{2}=4$
Volume of 4 spheres$=4\times \frac{4}{3}\mathrm{\pi }{\mathrm{r}}^3$
$=\frac{16}{3}\mathrm{\pi }{\mathrm{r}}^3$