(A) In a $B.C.C.$ (Body-Centered Cubic) unit cell,the total number of particles $(Z)$ is $2$. Each particle is considered a sphere with volume $V_{sph

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(A) In a $B.C.C.$ (Body-Centered Cubic) unit cell,the total number of particles $(Z)$ is $2$. Each particle is considered a sphere with volume $V_{sphere} = \frac{4}{3} \pi r^3$. Therefore,the total volume occupied by all particles in the unit cell is $Z \times V_{sphere} = 2 \times \frac{4}{3} \pi r^3 = \frac{8}{3} \pi r^3$.