To find the volume of a cone, we can use the following formula:
V = 1/3(pi)(r^2)(h)
Given the diameter (12 meters) and height (6 meters) when pi approximately equals 3.14, we can plug in our values considering that radius is half of the diameter:
V = 1/3(3.14)(6^2)(6)
V = 1/3(3.14)(36)(6)
V ≈ 226.195 m^3
Hence, the volume of a cone with a diameter of 12 m and a height of 6 m is approximately 226.195 cubic meters.