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The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
Substituting the given values, we have V = 3.14 * 2^2 * 6.
Simplifying, we get V = 3.14 * 4 * 6 = 75.36 cubic inches.
Therefore, the correct answer is 75.36 cubic inches.