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Volume of a Cone. The volume of a cone is equal to one-third the product of the area of the base and the height. It is given by the formula: where r is the radius of the base and h is the perpendicular height of the cone. Worksheet to calculate the volume of cones. Example: Calculate the volume of a cone if the height is 12 cm and the radius is 7 cm.
The volume of a conical or pyramidal frustum is the volume of the solid before slicing the apex off, minus the volume of the apex: where B1 is the area of one base, B2 is the area of the other base, and h1, h2 are the perpendicular heights from the apex to the planes of the two bases.