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Volume of a cone formula: V = (1/3)Ï€r^2h
Given:
r = radius = 12 mm / 2 = 6 mm
h = height = 14 mm
V = (1/3) * 3.14 * 6^2 * 14
V = (1/3) * 3.14 * 36 * 14
V = (1/3) * 3.14 * 504
V = (1/3) * 1584.56
V ≈ 528.19 cubic millimeters
Therefore, the volume of the cone is approximately 528.19 cubic millimeters.