Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find (i) radius of the base -Maths 9th

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find (i) radius of the base -Maths 9th
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1 Answer

Answer :

Slant height of cone, l = 14 cm Let the radius of the cone be r. (i) We know, CSA of cone = πrl Given: Curved surface area of a cone is 308 cm2 (308 ) = (22/7)×r×14 308 = 44 r r = 308/44 = 7 Radius of a cone base is 7 cm. (ii) Total surface area of cone = CSA of cone + Area of base (πr2) Total surface area of cone = 308+(22/7)×72 = 308+154 Therefore, the total surface area of the cone is 462 cm2.
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