Lateral Surface Area of Right Circular Cone

Total Surface Area of Cone

Lateral Surface Area of Cone

Volume of Cone

What is lateral surface area of right circular cone ? Suppose we have cone shape object like as mentioned in the below diagram If we cut open it from the slant height the shape of cone will be as follows and the whole area is the curved surface area of cone This curved surface area is called the lateral surface area of cone or we can also say that Lateral Surface Area of Cone = Curved Surface Area of Cone So, formula for lateral surface area of cone is : Π x Radius x Slant Height or L.S.A. of cone = Π x R x SH Let's try out some examples to find curved surface area of cone Example : 1 - Find lateral surface area of cone which has a radius of 3m and slant height of 5m Solution : Given things are Radius = 3m Slant Height = 5m Value of Π = 3.142 L.S.A. = Π x Radius x Slant Height L.S.A. = 3.142 X 3 X 5 L.S.A. = 47.13m2 Example : 2 - Find lateral surface area of cone which has a radius of 3m and height of 4m Solution : First we will find the slant height of cone by using the Pythagoras theorem and we get Slant height2 = height2 + radius2 S.H.2 = (4)2 + (3)2 S.H.2 = 16 + 9 S.H.2 = 25 S.H. = √ 25 S.H. = 5m Now we will find curved surface area Value of Π = 3.142 L.S.A. = Π x Radius x Slant Height L.S.A. = 3.142 X 3 X 5 L.S.A. = 47.13m2