A 6 inches by 50 feet tank can hold how many gallons of fuel?

To determine how many gallons of fuel a tank measuring 6 inches in diameter and 50 feet in length can hold, we first need to calculate the volume of the cylinder, which is the shape of the tank. The formula to calculate the volume of a cylinder is:

[ V = \pi r^2 h ]

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

1. Convert all measurements to a standard unit (gallons) for final calculation:

• The diameter of the tank is 6 inches, which means the radius is ( \frac{6}{2} = 3 ) inches.

• The length of the tank is 50 feet. To work in a consistent measurement for volume, convert feet to inches: ( 50 \text{ feet} = 50 \times 12 = 600 \text{ inches} ).

2. Now substitute the values into the volume formula:

[

V = \pi (3 , \text{inches})^2 (600 , \text{inches}) = \pi (9) (600) = 5400\pi , \