3. Curved surface area of a cone is 308 cm and its slant height is 14 cm. Find (i) radius of the base and (ii) total surface area of the cone. n.
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It is given that the curved surface area of a cone is 308 cm² and its slant height is 14 cm. We have found that radius of the cone is 7 cm and the total surface area of the cone is 462 cm².
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Given :
Curved surface area of the cone =308cm2 and Slant height or l=14 cm.
Curved surface area of the cone =πrl
308=722×r×14
r=(22×14)(308×7)
r=7cm
Total surface area of the cone =πr(r+l)
=(722×7)(7+14)
=22×21
Total surface area of the cone =462cm2
So, the radius of the base of the cone is 7 cm and the total surface area of the cone is 462cm2.
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