The volume of a sphere is 38808 cm3 . What is its surface area (in cm2 )?
(Take π = 22/7)
Answer & explanation
Correct answer: option 2
We know that,
Volume of sphere = \(\frac{4}{3}\)πr3
Surface Area of sphere = 4πr2
We have,
Volume of sphere = 38808 cm3
According to the question,
\(\frac{4}{3}\)πr3 = 38808
\(\frac{4}{3}\) × \(\frac{22}{7}\)× r3 = 38808
r3 = 9261
r = 21cm
Now, the Surface Area of the sphere = 4×\(\frac{22}{7}\)×21×21
= 4 × 66 × 21 = 5544 cm2