A cone has radius 3 and height 6. What is its volume (in terms of π)?

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Multiple Choice

A cone has radius 3 and height 6. What is its volume (in terms of π)?

Explanation:
The key idea is using the cone volume formula, V = (1/3) π r^2 h. With radius r = 3 and height h = 6, substitute: V = (1/3) π × (3)^2 × 6 = (1/3) × 9 × 6 × π = 54/3 × π = 18π. So the cone’s volume is 18π cubic units. The other numbers would come from using different dimensions (for example, a smaller or larger height would scale the result accordingly), but with these dimensions you get 18π.

The key idea is using the cone volume formula, V = (1/3) π r^2 h. With radius r = 3 and height h = 6, substitute: V = (1/3) π × (3)^2 × 6 = (1/3) × 9 × 6 × π = 54/3 × π = 18π. So the cone’s volume is 18π cubic units. The other numbers would come from using different dimensions (for example, a smaller or larger height would scale the result accordingly), but with these dimensions you get 18π.

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