What is the total volume occupied by atoms in a face-centered cubic $(FCC)$ unit cell of a metal?
- A$\frac{24}{3} \pi r^3$
- B$\frac{12}{3} \pi r^3$
- C$\frac{16}{3} \pi r^3$
- D$\frac{20}{3} \pi r^3$
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