What is the volume of a cone with a height of 34 feet and a diameter of 24feet
To determine the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter of the cone is 24 feet, we can find the radius by dividing the diameter by 2.
Radius = 24/2 = 12 feet
Using the given height of 34 feet and the radius of 12 feet, we can calculate the volume:
V = (1/3)π(12^2)(34)
= (1/3)π(144)(34)
= (1/3)π(4896)
≈ 5153.6 cubic feet
Therefore, the volume of the cone is approximately 5153.6 cubic feet.