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.
Answer & explanation
Correct answer: option 2
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