Multiple choice

The radius of a right circular cylinder increased by 50% Find the percentage increase in volume

  1. 120%

  2. 125%

  3. 150%

  4. 130%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cylinder volume is proportional to the square of its radius when height is fixed. Increasing the radius by 50% multiplies the volume by 1.5^2 = 2.25, which is a 125% increase.

AI explanation

Assuming the height remains constant, the volume of a cylinder is proportional to the square of its radius. Increasing the radius by 50 percent makes the new radius 1.5r, so the new volume scales by 1.5 squared, which is 2.25 times the original volume. This represents a 125 percent increase in volume.

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