Find the volume of a right circular cone that has a height of 17 ft and a base with a circumference of 5 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

We know that the circumference of the base is 5 ft, which means 2πr = 5. Solving for r, we get r = 5/(2π) ≈ 0.7958 ft.

Now we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(0.7958)²(17)
V ≈ 4.2 cubic feet

Rounded to the nearest tenth of a cubic foot, the volume of the cone is 4.2 cubic feet.