How many gallons of gas is in a cylindrical tank (that is laying on it’s side, the circular bases are vertical, the diameter of the bases are 5 feet, the length of the tank is 8 feet, the gas is at a 2 ft level)?
To find the number of gallons of gas in a cylindrical tank, we need to calculate the volume of the tank and convert it to gallons. Here's how:
1. Find the volume of the tank:
The volume of a cylinder can be calculated using the formula: volume = π * r^2 * h, where π is approximately 3.14159, r is the radius of the circular base, and h is the height of the cylinder.
Since the diameter of the bases is given as 5 feet, we can find the radius by dividing it by 2:
Radius (r) = Diameter / 2 = 5 ft / 2 = 2.5 ft
The height of the tank is given as 8 feet, but since the tank is laying on its side, the 2 ft level represents the height of the gas from the base of the tank.
So, the height (h) of the gas in the tank is equal to the tank length minus the gas level:
Height (h) = Tank length - Gas level = 8 ft - 2 ft = 6 ft
Now, we can calculate the volume of the tank:
Volume = π * r^2 * h = 3.14159 * (2.5 ft)^2 * 6 ft
2. Convert the volume to gallons:
Since the volume is currently in cubic feet, we need to convert it to gallons. To do this, we need to know the conversion factor between cubic feet and gallons. One cubic foot is approximately equal to 7.48052 gallons.
Convert volume from cubic feet to gallons:
Volume (gallons) = Volume (cubic feet) * Conversion factor
Volume (gallons) = Volume (cubic feet) * 7.48052
Calculate the volume in gallons:
Volume (gallons) = Volume * 7.48052
By plugging in the values and performing the calculations, you should be able to determine the number of gallons of gas in the tank.