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. 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 surface area of a cone is the total area covered by the two surfaces - the lateral (or curved ) surface and the base. It's given by the formula 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 .