a water tank measures 12o feet in diameter and is 50 feet high .how many cubic feet of water can it hold ,to the nearest cubic foot ?
V = pi * r^2 * h
V = 3.14 * 6^2 * 50
V = 3.14 * 36 * 50
V = ?
To calculate the volume of the water tank in this case, we can use the formula for the volume of a cylinder, which is:
Volume = π * (radius^2) * height
First, let's find the radius of the cylinder. The diameter given is 120 feet, and the radius can be found by dividing the diameter by 2:
Radius = Diameter / 2 = 120 ft / 2 = 60 ft
Now, we can substitute the values into the volume formula:
Volume = π * (60 ft)^2 * 50 ft
Calculating this:
Volume = 3.14159 * (60 ft)^2 * 50 ft
≈ 565,486.68 cubic feet
Therefore, the water tank can hold approximately 565,487 cubic feet of water, rounded to the nearest cubic foot.