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The curved surface area of a cone is the area enclosed by the curved part of the cone . For a cone of radius 'r', height 'h', and slant height 'l', the curved surface area is as follows: Learn the shape of a cone and how to find its surface area , volume, height, slant height, and radius with formulas, solved examples, and diagrams In order to calculate the curved surface area and total surface area of a cone , we divide it into a circular base and the top slanted part. The area of the slanted part gives you the curved surface area . Learn how to calculate the curved surface area of a cone using the formula πrl, where r is the radius and l is the slant height. See examples, derivation, and worksheets on surface area of cone .