Multiple choice

The volume $\displaystyle \left ( \text{in cm}^{3} \right )$ of a right circular cone of height $12$ cm and base radius $6$ cm is

  1. $\displaystyle 12\pi $
  2. $\displaystyle 36\pi $
  3. $\displaystyle 72\pi $
  4. $\displaystyle 144\pi $
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Explanation

Volume of a cone = (1/3) * pi * r^2 * h. Volume = (1/3) * pi * 6^2 * 12 = (1/3) * pi * 36 * 12 = 144 * pi.

AI explanation

The volume of a right circular cone is calculated using the formula one third times pi times the square of the base radius times the height. Substituting the given values gives one third times pi times 6 squared times 12. Multiplying one third by 144 yields 48, which when multiplied by 36 results in 144 pi.

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