The area occupied by the surface of a cone is known as the surface area of a cone. The curved surface area of cone refers only to the curved part of the cone which is other than the circular flat base.
Kids Math: Finding the Volume and Surface Area of a Cone
Volume and surface area of a cone formulas
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Surface Area of A Cone --Examples illustrated with pictures of the formula for
Math Formulas for Basic Shapes and 3D Figures
Surface Area Of A Cone - GCSE Maths - Steps & Examples
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Surface Area of a Cone Brilliant Math & Science Wiki
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Ex 6.3, 24 - Show that cone of least curved surface, given volume