What is the fuel content (in gallons) for a tank with a diameter of 2 inches and length of 25 feet?

What is the fuel content (in gallons) for a tank with a diameter of 2 inches and length of 25 feet?

• A. 2 gallons
• B. 3.5 gallons
• C. 4.7 gallons
• D. 5.5 gallons

Answer: (C)

To determine the fuel content of a tank with a diameter of 2 inches and a length of 25 feet, you first need to calculate the volume of the tank using the formula for the volume of a cylinder, which is given by the equation: Volume = π × radius² × height. In this case, the height of the cylinder is the length of the tank, and the radius is half of the diameter. 1. Convert the diameter from inches to feet: - Diameter = 2 inches = 2/12 feet = 1/6 feet. - Radius = Diameter / 2 = (1/6) / 2 = 1/12 feet. 2. The length of the tank (height of the cylinder) is already given in feet as 25 feet. 3. Now plug these values into the volume formula: - Volume = π × (1/12)² × 25. 4. Calculate (1/12)² = 1/144. 5. Then, substitute into the formula: - Volume = π × (1/144) × 25 = (25π/144) cubic feet. 6. To convert cubic feet to gallons, use the conversion

To determine the fuel content of a tank with a diameter of 2 inches and a length of 25 feet, you first need to calculate the volume of the tank using the formula for the volume of a cylinder, which is given by the equation:

Volume = π × radius² × height.

In this case, the height of the cylinder is the length of the tank, and the radius is half of the diameter.

1. Convert the diameter from inches to feet:

• Diameter = 2 inches = 2/12 feet = 1/6 feet.

• Radius = Diameter / 2 = (1/6) / 2 = 1/12 feet.

2. The length of the tank (height of the cylinder) is already given in feet as 25 feet.

3. Now plug these values into the volume formula:

• Volume = π × (1/12)² × 25.

4. Calculate (1/12)² = 1/144.

5. Then, substitute into the formula:

• Volume = π × (1/144) × 25 = (25π/144) cubic feet.

6. To convert cubic feet to gallons, use the conversion