Answer:
r = [tex]3.63x10^{-13}[/tex] cm
Explanation:
The density (d) is the mass divided by the volume, so:
d = m/V
[tex]1.0x10^{14} = \frac{2.0x10^{-23}}{V}[/tex]
[tex]V = \frac{2.0x10^{-23}}{1.0x10^{14}}[/tex]
V = [tex]2.0x10^{-37} cm^3[/tex]
The volume of a sphere is
[tex]V = \frac{4xpixr^3}{3}[/tex]
For pi = 3.14
[tex]2.0x10^{-37} = \frac{4x3.14xr^3}{3}[/tex]
[tex]12.56r^3 = 6.0x10^{-37}[/tex]
[tex]r^3 = 4.78x10^{-38}[/tex]
[tex]r = \sqrt[3]{4.78x10^{-38}}[/tex]
r = [tex]3.63x10^{-13}[/tex] cm
