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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 base radius of a circular cone is the radius of its base; often this is simply called the radius of the cone. The aperture of a right circular cone is the maximum angle between two generatrix lines; if the generatrix makes an angle Î¸ to the axis, the aperture is 2 Î¸. A cone with its apex cut off by a plane is called a truncated cone; if the truncation plane is parallel to the cone's base, it is called a frustum.