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The formula for the volume of a cone is V = 1/3Ï€r^2h, where r is the radius and h is the height.
First, we need to find the radius of the cone. The diameter is 20 cm, so the radius is half of that, which is 10 cm.
V = 1/3 * 3.14 * 10^2 * 15
V = 1/3 * 3.14 * 100 * 15
V = 1/3 * 3.14 * 1500
V = 0.3333 * 4710
V = 1570 cubic centimeters
Therefore, the volume of the cone is 1,570 cubic centimeters.
Therefore, the answer is:
O 1,570 cubic centimeters