Multiple choice

The volume of a right circular cylinder with radius $6$ is $9\pi$. Calculate the height of the cylinder.

  1. $\dfrac {1}{4}$ or $0.25$
  2. $0.20$
  3. $\dfrac {1}{3}$
  4. $\dfrac {2}{5}$
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A Correct answer
Explanation

Volume of cylinder = pi * r^2 * h. Given V = 9pi and r = 6. 9pi = pi * 36 * h. h = 9 / 36 = 1/4 = 0.25.

AI explanation

Using the volume of a cylinder formula, V = pi * r^2 * h, we can isolate the height as h = V / (pi * r^2). Substituting the given volume of 9pi and radius of 6 gives h = 9pi / (pi * 6^2). This simplifies to 9 / 36, which equals 1/4 or 0.25.

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