Solution:
(i) Given curved surface area of the cone = 308 cm2
Slant height of the cone, l = 14 cm
rl = 308
(22/7)×r×14 = 308
r = 308×7/(22×14)
= 7
Hence the radius of the cone is 7 cm.
(ii)Total surface area of the cone = Base area + curved surface area
= r2+ rl
= (22/7)×72 +308
= (22/7)×49 +308
= 154+308
= 462
Hence the total surface area of the cone is 462 cm2.