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To find the volume of a cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the cylinder is 8 inches, we can find the radius by dividing the diameter by 2.
radius = 8 inches / 2 = 4 inches
Next, we substitute the values into the formula:
V = π(4 in)^2(12 in)
V = π(16 in^2)(12 in)
V = π(192 in^3)
V ≈ 602.88 cubic inches
So the correct answer is 602.88 cubic inches.