What is the fuel capacity for a 6 inches by 50 feet tank?

What is the fuel capacity for a 6 inches by 50 feet tank?

• A. 9 gallons
• B. 33 gallons
• C. 74 gallons
• D. 882 gallons

Answer: (C)

To determine the fuel capacity of a tank that is 6 inches in diameter and 50 feet in length, you start by calculating the volume of the cylinder that represents the tank. The formula for the volume \( V \) of a cylinder is given by: \[ V = \pi r^2 h \] where \( r \) is the radius and \( h \) is the height (or length, in this case) of the cylinder. 1. First, convert the diameter to radius: - Diameter = 6 inches, so Radius \( r = \frac{6}{2} = 3 \) inches. 2. Convert inches to feet since the length of the tank is in feet: - 3 inches = \( \frac{3}{12} = 0.25 \) feet. 3. The length of the tank \( h \) is already given as 50 feet. 4. Substitute the values into the volume formula: - \( V = \pi (0.25)^2 (50) \) - \( V = \pi (0.0625) (50) \) - \( V \approx 3.14 \times 3.125 \)

To determine the fuel capacity of a tank that is 6 inches in diameter and 50 feet in length, you start by calculating the volume of the cylinder that represents the tank. The formula for the volume ( V ) of a cylinder is given by:

[ V = \pi r^2 h ]

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

1. First, convert the diameter to radius:

• Diameter = 6 inches, so Radius ( r = \frac{6}{2} = 3 ) inches.

2. Convert inches to feet since the length of the tank is in feet:

• 3 inches = ( \frac{3}{12} = 0.25 ) feet.

3. The length of the tank ( h ) is already given as 50 feet.

4. Substitute the values into the volume formula:

• ( V = \pi (0.25)^2 (50) )

• ( V = \pi (0.0625) (50) )

• ( V \approx 3.14 \times 3.125 )