Final answer:
To calculate the volume of a cylinder with an 8-inch diameter and a 10-inch stroke, use the volume formula V = πr²h, yielding a volume of 502.656 cubic inches of water.
Step-by-step explanation:
To find the volume of a cylinder with an 8-inch diameter and a 10-inch stroke (height), we can use the formula V = πr²h. First, we need to calculate the radius, which is half the diameter, so the radius is 4 inches. Plugging the radius and height into the formula:
V = π × (4 in)² × (10 in) = π × 16 in² × 10 in
Now, calculating the volume:
V = 3.1416 × 16 in² × 10 in = 502.656 in³
Therefore, the cylinder can hold 502.656 cubic inches of water.