The formula for the volume (V) of a cylinder is given by:
V = πr^2h
where r is the radius of the cylinder and h is its height.
We are given the diameter of the cylinder as 28 meters, so the radius (r) is half of that, or 14 meters.
Using the given height of 7 and one half meters, we can now calculate the volume of the cylinder as follows:
V = πr^2h = (22/7) * (14)^2 * (7.5) = 4,620 cubic meters (rounded to the nearest whole number)
Therefore, the approximate volume of the cylinder is 4,620 cubic meters.