The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height of the cylinder.
Given that the diameter of the cylinder is 8 yards, we can find the radius as half of the diameter:
r = 8 yards / 2 = 4 yards
The height of the cylinder is given as 22 yards.
Now, we can plug in the values in the formula for the volume of the cylinder:
V = πr^2h = 3.14 * (4 yards)^2 * 22 yards
V = 3.14 * 16 yards^2 * 22 yards
V = 3.14 * 352 yards^3
V = 1105.28 cubic yards (rounded to two decimal places)
Therefore, the volume of the cylinder is approximately 1105.3 cubic yards.