Multiple choice

The radius of the base of a right circular cone is $r$ and its height is $2h$, then its volume is

  1. $\displaystyle\frac{2}{3}\pi r^2h$
  2. $\pi r^2h$
  3. $2\pi r^3h$
  4. $\displaystyle\frac{1}{3}\pi r^2h$
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A Correct answer
Explanation

The volume of a cone is (1/3) * pi * r^2 * height. Substituting the given height 2h, the volume is (1/3) * pi * r^2 * (2h) = (2/3) * pi * r^2 * h.

AI explanation

The volume of a right circular cone is found using the formula one third times pi times the square of the base radius times the height. Substituting the given radius r and height 2h into the formula gives one third times pi times r squared times 2h. Simplifying this product results in two thirds times pi times r squared times h.

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