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.

Open in App

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

Suggest Corrections

Similar questions

308 {c m}^{2}

14 c m

14 c m

50 c m

Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find

(i) radius of the base and (ii) total surface area of the cone.

π = \frac{22}{7}

Join BYJU'S Learning Program