The fraction of total volume occupied by atoms in a simple cube is

Options

A. `(pi)/(6)`
B. `(pi)/(3sqrt(2))`
C. `(pi)/(4sqrt(2))`
D. `(pi)/(4)`

Answer

1

Explanation

Packing fraction in simple cube
`((4)/(3)pir^(3))/(a^(3))` here `a=2r, therefore ((4)/(3)pir^(3))/((2r)^(3))=(pi)/(6)`