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Volume of a cone = (1/3)*(area of base)*(height). Area of a circle = pi*radius². But you know circumference. Circumference = 2*pi*radius.

Rearrange: radius = C/2/pi. Substitute this in for radius above: Area = pi*(C/2/pi)² = C²/(4*pi).

Volume = C²*h/(12*pi) [C is circumference, h is height]

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