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Question

Curved surface area of a cone is 308cm2 and its slant height is 14cm. Find total surface area of the cone.


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Solution

Step 1: To find the radius

Given that,

Curved surface area of a cone =308cm2

slant height, l=14cm

We know that,,

Curved surface area of the cone =π×r×l

Therefore,

π×r×l=308cm2

227×r×14=308r=7×30822×14r=7cm

Step 2: To find the total surface area

Total surface area of the cone =curvedsurfacearea+basearea

Base area of cone

A=π×r2=227×72=154cm2

Total surface area of the cone = Curved surface area + base area

= 308+154cm2=462cm2

Hence, the total surface area of the cone is 462cm2.


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