Surface Area Cone

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A cone is a 3-dimensional solid figure which has a circular base and a vertex on the top of a cone. Every point on the base circle is connected to the vertex on the top and it therefore forms a curved surface around the cone. The total surface area is the sum of all the surface areas, and hence the total surface area of a cone is calculated by adding the area of the circular base and the area of its curved surface.
 
Example 1: What is the total surface area of a cone whose radius of the circular base is 5m and the slant height of the cone is 9m?

Given: radius, r = 5m

Slant height of the cone, s = 9m

Total Surface area of Cone, SA = π* r2 + π* r* s

This gives: Total surface area of the cone, SA= (π* 52)+ (π* 5* 9) = 25π+ 45π = 219.9m2

Therefore, the total surface area of the given cone is 219.9m2
 
Example 2: What is the total surface area of a cone whose radius of the circular base is 6m and the slant height of the cone is 10m?

Given: radius, r = 6m

Slant height of the cone, s = 10m

Total Surface area of Cone, SA = π* r2 + π* r* s

This gives: Total surface area of the cone, SA = (π* 62) + (π* 6* 10) = 36π+ 60π = 301.6m2

Therefore, the total surface area of the given cone is 301.6m2
 
 
 

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