A right circular cone has a volume of 24π cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?
Correct answer: B. 6
- A. 2√3
- B. 6
- C. 12
- D. 36
Explanation
To find the radius of the cone's base, use the formula V = 1/3 πr2h. Substituting the given values, you get 24π = (2π/3)r2. Solving for r gives r = 6, so the radius of the base is 6 inches. Choice A is incorrect due to a formula error, Choice C provides the diameter instead of the radius, and Choice D results from not correctly calculating the radius.
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