# Calculating the diameter of a polonium atom

## Homework Statement

Polonium has a simple cubic structure at room temperature. Given that the mass density of solid $$^{209}_{84}$$Po is 9.2gcm^-3 , calculate the diameter.

## The Attempt at a Solution

Volume = mass/density = 209/ 9.2 = 22.7 cm^3

1 mole = 6.02 x10^23 mol^-1

22.7 / 6.02x10^23 = 3.77 x10^-23 cm

volume = 4/3 (pi) r^3

So diameter is 4.16x10^-10 m ?

Is this correct? I have no answers to refer to. Thank you.