If the radius of a sphere is increased by 10%, then its volume will increase by:

33.1%

Volume of sphere = \(\frac{4}{3}\)πr³

10% = \(\frac{1}{10}\)

                          old         new

Radius                 10     :     11

Radius                 10     :     11

Radius                 10     :     11

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                         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%