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The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter is 6 cm, the radius is half of that, so r = 3 cm.
Substitute the values into the formula:
V = 3.14 * 3^2 * 5
V = 3.14 * 9 * 5
V = 141.3 cm^3
Therefore, the volume of the right circular cylinder is 141.30 cm^3.