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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.
Example 5: Find the height of a cone whose volume is 22 cm3 and the radius of the cone = 1cm, use Ï = 22/7 Solution: V = 1/3 â Ï â r2 â h = 22 V = 1/3 â 22/7 â 1 â 1â h = 22 V = h = (22 â 7 â 3)/22 V = h = 21 cm.