Surface Area of Cone

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A cone is solid geometric figure consisting of three dimensions. A cone has a circular base and this circular base forms a curved surface around the cone which meets at a single point on the top known as the ‘vertex’ of the cone. We can calculate the volume and the surface area of a cone. The total surface area of a cone is calculated by adding the area of the circular base (area of the circle) to the curved surface area of the cone.
 
Example 1: What is the total surface area of a cone whose radius of the circular base is 10m and the slant height of the cone is 14m?

Given: radius, r = 10m

Slant height of the cone, s = 14m

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

This gives: Total surface area of the cone, SA= (π* 102) + (π* 10* 14) = 100π+ 140π = 754m2

Therefore, the total surface area of the given cone is 754m2

 Example 2: What is the total surface area of a cone whose radius of the circular base is 7m and the slant height of the cone is 12m?

Given: radius, r = 7m

Slant height of the cone, s = 12m

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

This gives: Total surface area of the cone, SA= (π* 72) + (π* 7* 12) = 49π+ 84π = 417.8m2

Therefore, the total surface area of the given cone is 417.8m2
 
 


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