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Surface Area of a Cone ? There are two surfaces that make up the total surface of the cone - the lateral (or curved) surface and the base. The surface area of the cone is the total area covered by these surfaces. Alright, so what's formula for the surface area of a cone ? 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 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 surface area of a cone using easy formulas, step-by-step guides, and solved examples for exams. Get clear on curved and total area with instant tips.