Multiple choice

A cylindrical water tank in the backyard of a house collects rainwater for the garden. If the homeowner decides to increase the radius of the tank by 29%, while keeping the height constant, what percent increase will occur in the volume of water the tank can hold?

  1. 21.41%

  2. 29%

  3. 41.41%

  4. 66.41%

  5. 81.81%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The volume of a cylinder is V = pi * r^2 * h. If the radius increases by 29%, the new radius is 1.29r, so the new volume is pi * (1.29r)^2 * h = 1.6641 * pi * r^2 * h. This represents a 66.41% increase.

AI explanation

The volume of a cylinder is given by the formula V equals pi times r squared times h. Since the height remains constant, the new volume is proportional to the square of the new radius. Increasing the radius by 29 percent makes the new radius 1.29 times the original, so the new volume is 1.29 squared times the original volume. Calculating 1.29 squared gives 1.6641, which means the volume increases by 66.41 percent.

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