Multiple choice

If the base radius of a cylinder is increased to 5 times its original value, keeping its height the same, then its volume becomes ___ times its original volume.

  1. 5

  2. 15

  3. 20

  4. 25
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D Correct answer
Explanation

The volume of a cylinder is V = pi * r^2 * h. If r becomes 5r, the new volume is V' = pi * (5r)^2 * h = 25 * pi * r^2 * h = 25V.

AI explanation

The volume of a cylinder is given by the formula V = pi * r^2 * h. If the new radius is 5r and the height remains h, the new volume becomes V' = pi * (5r)^2 * h = 25 * pi * r^2 * h. This shows the new volume is exactly 25 times the original volume.

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