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The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the base is 6 centimeters, the radius is half of that, which is 3 centimeters.
Plugging in the values, we get:
V = π(3)^2(11)
V ≈ π(9)(11)
V ≈ 283.0 cubic centimeters
Therefore, the volume of the cylinder is approximately 283.0 cubic centimeters.