What is the approximate volume, in cubic inches, of a reciprocating compressor cylinder with a 10-inch bore and a 14-inch stroke?

To determine the approximate volume of a reciprocating compressor cylinder, we can use the formula for the volume of a cylinder, which is:

Volume = π × (radius²) × height

In this context, the bore of the cylinder (the diameter) is 10 inches, which means the radius is half of that, or 5 inches. The stroke of the cylinder acts as the height, which is 14 inches.

Using these values, we can plug them into the formula:

1. Calculate the radius squared:

Radius = 5 inches

Radius² = 5² = 25 square inches

2. Now apply the volume formula:

Volume = π × (25) × (14)

Volume ≈ 3.14 × 25 × 14

Volume ≈ 3.14 × 350

Volume ≈ 1097 cubic inches

Rounding this to the nearest whole number gives approximately 1099 cubic inches. This calculation accurately reflects the physical dimensions provided in the question and yields the correct volume of the compressor cylinder.

By following these calculations systematically, we arrive at the correct answer, which highlights how to utilize geometric formulas to analyze the dimensions of a cylindrical shape in