If the radius of a sphere is increased by 10%, then its volume will increase by:
Answer & explanation
Correct answer: option 3
Volume of sphere = \(\frac{4}{3}\)πr³
10% = \(\frac{1}{10}\)
old new
Radius 10 : 11
Radius 10 : 11
Radius 10 : 11
-----------------------------------------
10³ : 11³
1000 : 1331
Percentage increase in volume = \(\frac{1331 - 1000}{1000}\) × 100%
= \(\frac{331}{1000}\) × 100%
= 33.1%
The correct answer is Option (3) → 33.1%