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