We need to use our formula for volume of a sphere, which is [tex]V = \frac{4}{3}\pi{r^3}[/tex]. We can set this equal to 12500 to figure out our r.
[tex]12500 = \frac{4}{3}\pi{r^3}
[/tex]
[tex]\frac{9375}{\pi} = r^3[/tex]
[tex]\boxed{r = \sqrt[3] {\frac{9375}{\pi}} = 14.4}[/tex]
