Multiple choice

The volume of a right circular cone of height $10$ cm and radius of base $6$ cm is

  1. $60 \pi \ \text{cm}^3$
  2. $90 \pi \ \text{cm}^3$
  3. $120 \pi \ \text{cm}^3$
  4. $180 \pi \ \text{cm}^3$
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C Correct answer
Explanation

The volume of a cone is given by V = (1/3) * pi * r^2 * h. Substituting r = 6 and h = 10, we get V = (1/3) * pi * 36 * 10 = 12 * 10 * pi = 120 * pi.

AI explanation

The volume of a right circular cone is calculated using the formula V = (1/3)πr^2h. Substituting the given radius of 6 cm and height of 10 cm gives V = (1/3) * π * 6^2 * 10. This simplifies to V = (1/3) * π * 36 * 10 = 120π cm^3.

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