If the volume of a sphere is $697\frac{4}{21} cm^3$, then its radius is :

(Take $\pi=\frac{22}{7}$)

5.5 cm

Given,

The volume of a sphere = $697\frac{4}{21} cm^3$ = \(\frac{14641}{21}\) 

We also know that,

The volume of a sphere = \(\frac{4}{3}\) πr³

equating both of them,

\(\frac{4}{3}\) × \(\frac{22}{7}\) × r³ = \(\frac{14641}{21}\)

 r³ = \(\frac{14641}{21}\)  × \(\frac{7}{22}\) × \(\frac{3}{4}\) 

on solving,

 r³ = 166.375

r = \(\sqrt[3]{166.375}\)

r = 5.5cm