The surface area of a spherical balloon is 400 π cm² . What is the volume of air in it?

$\frac{4000}{3}π$ cm²

We know that,

Total surface area of sphere = 4πr²

Volume of sphere = \(\frac{4}{3}\)πr³

We have,

The total surface area of a sphere = 400π cm²

According to the question,

Total surface area of sphere = 4πr² = 400π 

= r² = 100

= r = 10 cm

Now, Volume of sphere = \(\frac{4}{3}\) × 10³ × π = \(\frac{4000}{3}\)π