What is the total volume of 1,000 feet of 8-inch pipeline in gallons?

To determine the total volume of a pipeline, you can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height (or length in this case).

For an 8-inch pipeline, the diameter is 8 inches, giving a radius of 4 inches. To convert the measurements into feet since the length of the pipeline is given in feet, we convert the radius from inches to feet as follows:

4 inches / 12 inches/foot = 1/3 feet.

Now, we can calculate the volume in cubic feet:

1. Find the area of the circular cross-section: A = π × (1/3)² = π × 1/9 ≈ 0.3491 square feet.

2. Multiply the area by the length of the pipeline: V = A × h = 0.3491 square feet × 1000 feet ≈ 349.1 cubic feet.

To convert cubic feet to gallons, we use the conversion factor of 1 cubic foot = 7.48 gallons:

349.1 cubic feet × 7.48 gallons/cubic foot ≈