An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centimeters in the volume of the cone? Express your answer to the nearest whole number, without units.
The radius of the cone is 14/sqrt(3), and the height of the cone is 28, so the volume of the cone is 1/3*pi*(14/sqrt(3))^2*28 = 5488*pi/9. To the nearest whole number, this is 1916.
