If the volume of a sphere is $697\frac{4}{21} cm^3$, then its radius is :
(Take $\pi=\frac{22}{7}$)
Answer & explanation
Correct answer: option 4
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