If the volume of a sphere is 24,416.64 cm³, find its surface area (take π = 3.14) correct to two places of decimal.

4069.44 cm²

We know that,

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

Surface area of a sphere = 4πr²

The volume of a sphere = 24,416.64 cm³

\(\frac{4}{3}\)πr³ = 24416.64

= r3 = 24416.64 × \(\frac{3}{4}\) × \(\frac{1}{3.14}\) 

= r³ = 5832

= r = 18

Surface area = 4 × 3.14 × 18² = 12.56 × 324 = 4069.44 cm²