Multiple choice

If the new radius of a cylinder is three times its previous radius and the new height is 25% of its previous height, then what is the percentage change in its volume?

  1. 100%

  2. 125%

  3. 150%

  4. 500%

  5. 250%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume V = pi * r^2 * h. New volume V' = pi * (3r)^2 * (0.25h) = pi * 9r^2 * 0.25h = 2.25 * V. The change is 2.25V - V = 1.25V, which is a 125% increase.

AI explanation

Let the previous radius be r and previous height be h, making the previous volume of the cylinder h. The new radius becomes 3r and the new height becomes 0.25h, making the new volume (3r)^2 * (0.25h) = 2.25 times the previous volume. This represents a 125% increase in volume, resulting in 125%.

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