Question

The diameter of a cone's circular base is 6 inches. The height of the cone is 12 inches.

What is the exact volume of the cone?

Enter your answer in the box.

Answer 1

The correct answer is 36π

Explanation:

Answer 2

36π in³

Explanation:

You want the exact volume of a cone with a diameter of 6 inches and a height of 12 inches.

Volume

The volume of a cone is given by the formula ...

V = 1/3πr²h

The radius (r) is half the diameter, so is 3 inches. This makes the volume be ...

V = (1/3)π(3 in)²(12 in) = 36π in³

The exact volume of the cone is 36π cubic inches.

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