Multiple choice

The volume of a cone having radius 2 cm and height 6 cm is .............. cm$^3$

  1. $14 \pi$
  2. $12 \pi$
  3. $8 \pi$
  4. $16 \pi$
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C Correct answer
Explanation

Volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 2^2 * 6 = 1/3 * pi * 4 * 6 = 8 * pi.

AI explanation

The formula for the volume of a cone is V = (1/3) * pi * r^2 * h. Substituting the radius of 2 cm and the height of 6 cm gives (1/3) * pi * 2^2 * 6. This simplifies to (1/3) * pi * 4 * 6, which equals 8 * pi cm^3.

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