Question

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

(i) radius of the base 

(ii) total surface area of the cone.

Answer 1

C.S.A. of the cone, πrl = 308 

Slant height, l = 14 cm

i) πrl = 308; l = 14 cm

22/7 x r x 14 = 308

r = 308/44 = 7cm

ii) T.S.A. = πrl + πr²

= πr (r + l) = 22/7 x 7 x (7 + 14)

= 22 x 21 = 462 cm³