What is the volume of a right circular cone with radius 3 and height 6 (in terms of pi)?

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Multiple Choice

What is the volume of a right circular cone with radius 3 and height 6 (in terms of pi)?

Explanation:
Volume of a right circular cone uses the formula V = (1/3) π r^2 h. This comes from comparing the cone to a cylinder with the same base and height, where the cylinder’s volume is π r^2 h and the cone is one third of that. Plug in r = 3 and h = 6: r^2 = 9, so π r^2 h = π × 9 × 6 = 54π. Taking one third gives 54π ÷ 3 = 18π. So, the volume is 18π cubic units.

Volume of a right circular cone uses the formula V = (1/3) π r^2 h. This comes from comparing the cone to a cylinder with the same base and height, where the cylinder’s volume is π r^2 h and the cone is one third of that.

Plug in r = 3 and h = 6: r^2 = 9, so π r^2 h = π × 9 × 6 = 54π. Taking one third gives 54π ÷ 3 = 18π.

So, the volume is 18π cubic units.

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