Multiple choice

The radius of a cylinder is increased by 60% and height is decreased by 20%. What is percentage increase in it's volume?

  1. 105.2%

  2. 104.8%

  3. 105.8%

  4. 105.6%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the original radius be r and height be h. The new radius is 1.6r and the new height is 0.8h. The new volume is pi * (1.6r)^2 * (0.8h) = pi * 2.56r^2 * 0.8h = 2.048 * (pi * r^2 * h). This represents a 104.8% increase over the original volume.

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