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The diameter of the base of a cone is 8 inches and the height is twice the radius. What is the volume of the cone?

1. 66.99 in3
2. 50.24 in3
3. 401.92 in3
4. 133.97 in3

1 Answer

4 votes

Answer: 50.24 in3

Explanation:

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.

From the given information, we know that the diameter of the base of the cone is 8 inches, so the radius is 4 inches.

We also know that the height is twice the radius, so h = 2r = 8 inches.

Substituting these values into the formula, we get:

V = (1/3)π(4 in)^2(8 in) = (1/3)π(16 in^2)(8 in) = 50.24 in^3.

Therefore, the volume of the cone is 50.24 in^3, which corresponds to option 2.

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