Question
A water tank in the shape of a cone is a diameter of 12 feet and the height of 15 feet what volume of water in cubic feet is that cold
Answers
Answered by
GPT 3.5
To find the volume of a cone-shaped water tank, we can use the formula V = (1/3)πr²h, where V is the volume, π is approximately 3.14159, r is the radius of the base, and h is the height of the cone.
Given that the diameter of the water tank is 12 feet, we can find the radius by dividing the diameter by 2:
radius (r) = diameter / 2 = 12 feet / 2 = 6 feet.
Now that we have the radius and the height, we can substitute these values into the volume formula:
V = (1/3) * 3.14159 * (6 feet)² * 15 feet.
Calculating this expression will give us the volume of the water tank in cubic feet:
V ≈ (1/3) * 3.14159 * 36 square feet * 15 feet ≈ 1/3 * 3.14159 * 540 cubic feet ≈ 564.71 cubic feet.
Therefore, the volume of water in the tank is approximately 564.71 cubic feet.
Given that the diameter of the water tank is 12 feet, we can find the radius by dividing the diameter by 2:
radius (r) = diameter / 2 = 12 feet / 2 = 6 feet.
Now that we have the radius and the height, we can substitute these values into the volume formula:
V = (1/3) * 3.14159 * (6 feet)² * 15 feet.
Calculating this expression will give us the volume of the water tank in cubic feet:
V ≈ (1/3) * 3.14159 * 36 square feet * 15 feet ≈ 1/3 * 3.14159 * 540 cubic feet ≈ 564.71 cubic feet.
Therefore, the volume of water in the tank is approximately 564.71 cubic feet.