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Question

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

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Solution

## It is given that the curved surface area (C.S.A) of the cone is 308 cm2 and that the slant height is 14 cm. The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as Curved Surface Area = πrl Hence, base radius, r = Substituting the values of C.S.A and the slant height and using in the above equation we get r = r = 7 Hence the value of the base radius is The formula of the total surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as Total Surface Area = Substituting the values of r = 7 m and l = 14 cm in the above equation and using in specified formula, Total Surface Area = = (22) (21) = Therefore the total surface area of the given cone is

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