Answer:
[tex]\frac{5}{2} = r[/tex]
Step-by-step explanation:
[tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]\frac{125}{6} \pi = \frac{4}{3} \pi r^3[/tex]
[tex]\frac{125}{6} = \frac{4}{3} r^3[/tex]
[tex]\frac{3}{4} (\frac{125}{6} ) = \frac{3}{4} (\frac{4}{3} )r^3[/tex]
[tex]\frac{125}{8} = r^3[/tex]
[tex]\sqrt[3]{125}[/tex] ÷ [tex]\sqrt[3]{8}[/tex] = r
[tex]\frac{5}{2} = r[/tex]
