Determine the water level inside a tank that has a diameter of 40 feet and contains 180,000 gallons of water?
v = pi r^2 h
180000 = pi * 400 * h
h = 450/pi = 143.24
5.61 and .15 is
To determine the water level inside a tank, we will first calculate the height of the water. The formula to calculate the volume of a cylindrical tank is:
Volume = π * (radius^2) * height
Given that the diameter of the tank is 40 feet, we can calculate the radius:
Radius = diameter / 2 = 40 feet / 2 = 20 feet
We can rearrange the volume formula to solve for the height:
Height = Volume / (π * (radius^2))
Now, let's substitute the known values:
Height = 180,000 gallons / (π * (20 feet)^2)
Before we proceed, we need to convert gallons to cubic feet since both the volume and radius are in cubic feet:
1 gallon ≈ 0.1337 cubic feet
180,000 gallons ≈ 0.1337 * 180,000 cubic feet
Height = (0.1337 * 180,000 cubic feet) / (π * (20 feet)^2)
Next, we calculate the height using a calculator:
Height ≈ 10.74 feet
Therefore, the water level inside the tank is approximately 10.74 feet.