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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.
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.
The formula for the Surface Area of Cone Formula is given as: \ [\large Curved\;Surface\;Area\;of\;cone=\pi rs\] \ [\large Total\;Surface\;Area\;of\;cone=\pi r \left (s+r \right )\] Where, r is the radius of cone. h is the height of cone. s is the slant height of the 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 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.
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
Formula for Surface Area of Cone. (i) Curved Surface Area (CSA) curved surface area of cone = π r l. where l is the slant height. (ii) Total Surface Area (TSA) Total surface area of cone = CSA + π r 2 = π r l + π r 2. Note : l 2 = r 2 + h 2. Here h is the height of the cone. This is the relation between slant height and height of 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, 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.
The total surface area of a right circular cone is. A = πr 2 + πrs. where r is the radius of the base and s is the slant height. In the equation, πr 2 is the base area and πrs is the lateral surface area.
Here is the formula for finding the surface area of a cone: \(SA&=\pi r^{2}+\pi rs\). The first part of the formula, \(\pi r^{2}\), is simply the area formula for circles. This represents the base area. The second part, \pi rs, represents the lateral surface area of the cone’s side.
