Multiple choice

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

  1. $12\pi$
  2. $36\pi$
  3. $72\pi$
  4. $144\pi$
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D Correct answer
Explanation

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

AI explanation

The volume of a right circular cone is given by the formula one-third pi r squared h. Plugging in the base radius of 6 cm and height of 12 cm, we get one-third times pi times 6 squared times 12. Simplifying this, one-third of 144 is 48, and 48 times 3 gives 144. The volume is 144 pi.

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