What is the volumetric capacity of a cylinder with a 6" diameter and 18" stroke?

To determine the volumetric capacity of a cylinder, you can use the formula for the volume of a cylinder, which is calculated as:

Volume = π × (radius^2) × height

In this case, you need to find the radius first. The diameter of the cylinder is given as 6 inches, so the radius will be half of that:

Radius = Diameter / 2 = 6 inches / 2 = 3 inches.

Next, the height of the cylinder is indicated by the stroke, which is given as 18 inches. Now, you can plug these values into the volume formula:

Volume = π × (3 inches)^2 × 18 inches

= π × 9 square inches × 18 inches

= π × 162 cubic inches.

Now, using the approximate value of π (3.14) for calculation:

Volume ≈ 3.14 × 162 = 508.68 cubic inches.

When rounding this number, it gives a volumetric capacity of approximately 508.6 cubic inches, which aligns with the correct answer. Understanding this calculation shows the relationship between the dimensions of the cylinder and its capacity to hold volume. The precision in using the diameter to find the radius and then applying