# Problem: The volume of a sphere is (4/3)πr3 and the density of copper is 8.96 g/cm3.What is the radius (in cm) of a pure copper sphere that contains 1.37 1024 copper atoms?

###### FREE Expert Solution

Recall that density is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the volume of a sphere is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

Avogadro’s number = 6.022 x 1023 entities

entities = atoms, ions, molecules, particles, formula units

Molar mass of Cu = 63.55 g/mol

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###### Problem Details

The volume of a sphere is (4/3)πr3 and the density of copper is 8.96 g/cm3.

What is the radius (in cm) of a pure copper sphere that contains 1.37 1024 copper atoms?