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The volume of a cone is calculated using the formula V = (1/3)Ï€r^2h, where r is the radius of the base and h is the height.
Given that the diameter (which is twice the radius) of the cone is 12, then the radius would be 12/2 = 6.
Therefore, the volume of the cone can be calculated as follows:
V = (1/3) x π x 6^2 x 6
V = (1/3) x π x 36 x 6
V = (1/3) x π x 216
V = 72Ï€
Therefore, the volume of the cone is approximately 226.2 cubic units.