What is the fuel content (in gallons) for a tank with dimensions 4 inches by 25 feet?

What is the fuel content (in gallons) for a tank with dimensions 4 inches by 25 feet?

• A. 17
• B. 33
• C. 74
• D. 4.5

Answer: (A)

To determine the fuel content of a tank with dimensions of 4 inches by 25 feet, it is necessary to convert all measurements into the same unit and then calculate the volume. First, convert the dimensions to gallons by starting with the tank's dimensions. The tank has a diameter of 4 inches and a length of 25 feet. 1. **Convert dimensions**: - Since 1 foot equals 12 inches, the length in inches is \(25 \text{ ft} \times 12 \text{ inches/ft} = 300 \text{ inches}\). - The radius of the tank (which is half of the diameter) is \(2 \text{ inches}\). 2. **Calculate the volume of a cylinder**: - The formula for the volume \(V\) of a cylinder is given by: \[ V = \pi r^2 h \] - In this case, \(r = 2\) inches and \(h = 300\) inches. - Plugging in the numbers: \[ V = \pi (2^2)(300) = \pi (4)(300) = 1200\pi \text{

To determine the fuel content of a tank with dimensions of 4 inches by 25 feet, it is necessary to convert all measurements into the same unit and then calculate the volume.

First, convert the dimensions to gallons by starting with the tank's dimensions. The tank has a diameter of 4 inches and a length of 25 feet.

1. Convert dimensions:

• Since 1 foot equals 12 inches, the length in inches is (25 \text{ ft} \times 12 \text{ inches/ft} = 300 \text{ inches}).

• The radius of the tank (which is half of the diameter) is (2 \text{ inches}).

2. Calculate the volume of a cylinder:

• The formula for the volume (V) of a cylinder is given by:

[ V = \pi r^2 h ]

• In this case, (r = 2) inches and (h = 300) inches.

• Plugging in the numbers:

[ V = \pi (2^2)(300) = \pi (4)(300) = 1200\pi \text{