Answer:
Given the density, you can find the volume per mole of metal by taking dividing the molarity by the density. Using this, you can find the volume of a mole of atoms (this is a different value) by multiplying to the volume per mole of the metal by the packing efficiency. Next, divide the volume of a mole of atoms by the Avagadro's number. Then, using the volume of a sphere, you can find the radius.
Here's a better explanation using formulas:
Volume per mole of metal = Molarity/Density
Volume per mole of atoms = (Volume per mole of metal) x (Packing Efficiency)
Volume of 1 atom = Volume per mole of atoms/6.022 x 1023
Volume of 1 atom = (4/3) x pi x radius3