Multiple choice

Volume of cylinder whose radius $r$ is equal to its height is

  1. $\displaystyle\frac{1}{4}\pi r^3$
  2. $\displaystyle\frac{1}{32}\pi r^3$
  3. $\pi r^3$
  4. $\displaystyle\frac{1}{8}\pi r^3$
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C Correct answer
Explanation

The volume of a cylinder is V = pi * r^2 * h. Given r = h, the formula becomes V = pi * r^2 * r = pi * r^3.

AI explanation

The volume of a cylinder is calculated as pi times the square of the radius times the height. Since the height is equal to the radius r, substituting r for the height gives pi times r squared times r. This simplifies to pi times r cubed.

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