It is given that the curved surface area (C.S.A) of the cone is 176 cm2 and that the base radius is 7 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 =
Hence, slant height, l =
Substituting the values of C.S.A and the base radius and using in the above equation,
Slant height, l =
= 8
Hence the slant height of the cone with the mentioned dimensions is.