What is the volume of a cone with a height of 38 feet and a diameter of 21 feet?
4825.9 ft3
3509.8 ft3
5264.6 ft3
4387.2 ft3
The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.
Since the diameter is given as 21 feet, the radius is half of that, which is 21/2 = 10.5 feet.
Plugging in the values, we have V = (1/3)π(10.5)²(38).
Calculating this, we get V ≈ 5264.6 ft³.
Therefore, the volume of the cone is approximately 5264.6 ft³.
So, the correct answer is 5264.6 ft³.