The surface area of a spherical balloon is 400 π cm2 . What is the volume of air in it?
Answer & explanation
Correct answer: option 1
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