#### Answer

4.76 x 10^24 atoms

#### Work Step by Step

Convert the radius of the copper sphere from inches into centimeters.
Calculate the volume of the sphere.
We are trying to determine the mass of the sphere. Use the density of copper as a conversion factor in order to convert volume into mass. Also convert cubic centimeters into cubic meters.
Compute the mass of a single copper atom. Use Avogadro's number and the molar mass of copper as conversion factors.
Determine the number of atoms in the sphere by dividing the mass of the sphere by the mass of a single atom.