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Learn how to calculate the surface area of a cone, which is the sum of its curved surface and base area. Find the formula, derivation, and solved examples for right circular and general cones.
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- Cone
Aug 3, 2023 · The surface area (total surface area) of a cone is the entire space occupied by the flat circular base of the cone and its curved surface. The surface area is expressed in square units such as m 2, cm 2, mm 2, and in 2. Here we will discuss how to find the surface area of a right circular cone.
Jul 23, 2024 · Calculate the surface area of any right cone using the radius and height or slant height. Learn the formula, derivation and examples of how to find the surface area of a cone.
The surface area of a cone is the amount of area occupied by the surface of a cone. A cone is a 3-D shape that has a circular base. This means the circular base has a radius and diameter. The distance between the center of the base and the topmost part of the cone is the height of the cone.
The surface area of a cone is equal to the curved surface area plus the area of the base: \(\pi r^2 + \pi L r, \) where \(r\) denotes the radius of the base of the cone, and \(L\) denotes the slant height of the cone. The curved surface area is also called the lateral area.
Learn how to calculate the surface area of a cone using the formula πrl + πr2, where r is the radius and l is the slant height. See examples, worksheets and quizzes on surface area of a cone for 6th and 8th grade math.
Learn how to find the surface area of a cone with a circular base and a slant height. See the formulas, derivation and examples with step-by-step solutions.
