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Question

Curved Surface area of a cone is 308cm2 and its slant height is 14cm. Find
(i) radius of the base
(ii) Total surface area of the cone.

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Solution

Curved surface area of a cone of radius r and height h and slant height l is given by πrl.
i) Curved surface area=308cm2
l=14cm
πrl=308π×14×r=308227×14×r=30822×2×r=308
r=308447cm
ii) Total surface area=curved surface area + area of the base
=πrl+πr2=227×7(14+7)=22×21=462cm2

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