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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.
Cones. A cone is a solid with a circular base. It has a curved surface which tapers (i.e. decreases in size) to a vertex at the top. The height of the cone is the perpendicular distance from the base to the vertex. A right cone is a cone in which the vertex is vertically above the center of the base. When the vertex of a cone is not vertically above the center of the base, it is called an oblique cone. The following diagrams show a right cone and an oblique cone. In common usage, cones are assumed to be right and circular.