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First, we need to find the radius of the cone. The radius is half of the diameter, so the radius is 10cm/2 = 5cm.
Next, we use the formula for the volume of a cone, which is V = (1/3)Ï€r^2h. Plugging in the values, we get:
V = (1/3)Ï€(5cm)^2(14cm)
V = (1/3)Ï€(25cm^2)(14cm)
V = (1/3)Ï€(350cm^3)
V ≈ 366.5 cm^3
Therefore, the volume of the cone is approximately 366.5 cubic centimeters.