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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. The lateral surface area is the side-area of the cone. Let us see the formula to calculate the surface area of cone.
There is a predefined set of formulas for the calculation of curved surface area and total surface area of a cone, which is collectively called a cone formula. Curved surface area of a cone = \(\begin{array}{l}\pi rl\end{array} \)
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.
What is CSA of a Cone? The CSA of a cone is the abbreviated form of the Curved Surface Area of cone. The formula that is used to calculate the curved surface area of a cone is, CSA of cone = πrl, where 'r' is the radius of the base and 'l' is the slant height of the 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.
May 29, 2024 · Total Surface Area (TSA) of the cone = πr(r + l) Curved Surface Area (CSA) of the cone = πrl; In this article, we will talk about the surface area of the cone, including the formulas for Total Surface Area and Curved Surface Area, with the help of solved examples.
Jul 23, 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.
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.
Total Surface Area of the Cone = Area of its circular base + Area of the total curved surface. Thus, the total Surface Area of a Cone = πr2 + πrl. SA = π r (l + r) Solved Examples Surface Area of a Cone Formula. Q.1: Find the surface area of a cone of radius 14 cm and height 6 cm. Solution:
You can calculate the CSA and TSA of a cone, by finding the area of the cone’s base and the curved surface area of the cone. The curved surface area of a cone. You can look at the curved surface of a cone as a triangle. For this, you can slice up the curved surface into thin pieces to approximate them as small triangles.
