
To find: the lateral area and surface area of cone

Answer to Problem 12.7.6EP
The lateral area and surface area are
Explanation of Solution
Given:
Radius of the cone is
Slant height is
Formula used:
Lateral area of the pyramid is
Total surface area of the prism is
Lateral area of the pyramid is
Here
Total surface area of the prism is
Here
Here base is a circle.
Perimeter of the base is
Slant height is
Area of the base is
Lateral area is
Surface area is
Hence, the lateral area and surface area are
Conclusion:
Hence, the lateral area and surface area are
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