The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height. Plugging in the values given, the volume of the cone would be V = (1/3)π(3cm)^2(6cm) = (1/3)π(9cm^2)(6cm) = 54π cm^3. Therefore, the volume of the cone with a radius of 3cm and height of 6cm is 54π cubic centimeters.
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