The volume of a sphere is 38808 cm³ . What is its surface area (in cm² )?

(Take π = 22/7)

5544

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