What is the fuel content (in gallons) for a tank with a diameter of 2 inches and length of 10 feet?

What is the fuel content (in gallons) for a tank with a diameter of 2 inches and length of 10 feet?

• A. 1.5 gallons
• B. 2 gallons
• C. 3.5 gallons
• D. 4 gallons

Answer: (B)

To determine the fuel content in gallons for a tank with a diameter of 2 inches and a length of 10 feet, you first need to calculate the volume of the cylindrical tank. The volume of a cylinder is given by the formula: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height (or length, in this case). 1. **Convert diameter to radius**: The diameter of the tank is 2 inches, so the radius \( r \) is half of the diameter, which is 1 inch. 2. **Convert units**: Since the length of the tank is given in feet, it is helpful to convert it to inches for consistency. There are 12 inches in a foot, so 10 feet equals 120 inches. 3. **Calculate the volume**: - Using the radius in inches: \( r = 1 \) inch - Length \( h = 120 \) inches Now plug these values into the formula: \[ V = \pi (1)^2 (120) = \pi \times 1 \times 120

To determine the fuel content in gallons for a tank with a diameter of 2 inches and a length of 10 feet, you first need to calculate the volume of the cylindrical tank. The volume of a cylinder is given by the formula:

[ V = \pi r^2 h ]

where ( V ) is the volume, ( r ) is the radius, and ( h ) is the height (or length, in this case).

1. Convert diameter to radius: The diameter of the tank is 2 inches, so the radius ( r ) is half of the diameter, which is 1 inch.

2. Convert units: Since the length of the tank is given in feet, it is helpful to convert it to inches for consistency. There are 12 inches in a foot, so 10 feet equals 120 inches.

3. Calculate the volume:

• Using the radius in inches: ( r = 1 ) inch

• Length ( h = 120 ) inches

Now plug these values into the formula:

[

V = \pi (1)^2 (120) = \pi \times 1 \times 120