Multiple choice

The radius of a cylinder is increased by 5% and height of the cylinder is increased by 10%. What will be the increase in volume of the cylinder in this way?

  1. 27.1%

  2. 21.275%

  3. 18.375%

  4. 23.875%

  5. 12.5%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = πr²h. New radius = 1.05r, new height = 1.10h. New volume = π(1.05r)²(1.10h) = πr²h × 1.1025 × 1.10 = 1.21275 × original volume. Increase = 21.275%. This matches option B exactly.