Multiple choice

If the height of cylinder is halved keeping the radius constant , its volume will be

  1. $\dfrac{1}{2}$ times
  2. $\dfrac{1}{3}$ times
  3. $2$ times
  4. $3$ times
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A Correct answer
Explanation

Volume of a cylinder V = pi * r^2 * h. If h becomes h/2 and r remains constant, V_new = pi * r^2 * (h/2) = 1/2 * V.

AI explanation

Using the formula for the volume of a cylinder, the initial volume is pi * r^2 * h. When the height is halved and the radius remains constant, the new volume becomes pi * r^2 * (h / 2), which equals (1 / 2) * pi * r^2 * h. Therefore, the resulting volume is 1/2 times the original volume.

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