Example : The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area and the total surface area of the cone . Solution : Here, h = 16 cm and r = 12 cm The total surface area of a cone is the total area that the cone occupies in two dimensions , including the area of the circular base and the area of the curving surface. Learn how to calculate the total surface area and the curved surface area of a cone using formulas and examples. Find the slant height of a cone given the total surface area and the radius. Learn how to calculate the surface area of a cone using the formula πr2 + πrs, where r is the radius and s is the slant height. See the derivation, solved examples, and diagrams of a cone .