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Surface area of a cone is the complete area covered by its two surfaces, i.e., circular base area and lateral (curved) surface area. The circular base area can be calculated using area of circle formula.
To find the curved surface area of a cone, we multiply the radius and slant height of the cone by pi(π), and the formula which is used to find the lateral surface area of a cone is, CSA of cone (LSA of cone) = πrl, where 'r' is the radius of the base and 'l' is the slant height of the cone.
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.
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 8, 2024 · This surface area of a cone calculator will help you calculate the surface area of any right cone. In the text below, we will show you the surface area of a cone formula and how to derive it. After using our calculator and reading this article, you'll be super confident about how to find the surface area of a cone.
To find the curved surface area of any cone, multiply the base radius of the cone by pi. Now multiply your answer by the length of the side of the cone. If you want to total surface area remember to add on the area of the base of the cone. Try the interactive example below.
There is a curved surface area and a circular base. (The curved surface area of a cone is sometimes referred to as the lateral surface area of a cone). The surface area of a cone is the area of the two parts added together, \text{Surface area of a cone}=\pi{r}{l}+\pi{r^{2}}
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
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, πr2 +πLr, where r r denotes the radius of the base of the cone, and L L denotes the slant height of the cone. The curved surface area is also called the lateral area.
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 So, \(l^2\) = \(r^2\) + \(h^2\) \(\implies\) \(l^2\) = 144 + 256 = 400
