Multiple choice

The radius of the base and the height of a right circular cylinder are each increased by $10\%$, then the volume of the cylinder is increased by

  1. $30\%$
  2. $40\%$
  3. $42\%$
  4. $33.1\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume V = pi * r^2 * h. If r and h increase by 10%, the new volume is pi * (1.1r)^2 * (1.1h) = pi * 1.21r^2 * 1.1h = 1.331 * V. This represents a 33.1% increase.

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