The volume of a cone is 1/3 pi times the radius squared times the height. When given the volume and height divide both sides by the height. Volume divided by height is equal to 1/3 times pi times the radius squared. Now divide both sides by 1/3 pi. This will leave you with the radius squared. Take the square root of both sides and you will get the radius.
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The volume of this cone is 148.44025 cubic feet.
A cone with a volume of 408pi inches3 (using 3.14 for Pi) and a radius of 12 inches will have a height of about 8.5 inches.
Volume of a cone = 1/3*pi*radius2*height
Volume of a cone: 1/3*pi*radius^2 *height
79.59 units3