Curved surface area of a cone. is 308 cm2 its slant height is 14 cm. Find
(i) radius of the base and
(ii) total surface area of the cone.
Given :
Curved surface area of the cone =308cm2 and Slant height or l=14 cm.
Curved surface area of the cone =πrl
308=227×r×14
r=(308×7)(22×14)
r=7cm
Total surface area of the cone =πr(r+l)
=(227×7)(7+14)
=22×21
Total surface area of the cone =462cm2
So, the radius of the base of the cone is 7 cm and the total surface area of the cone is 462cm2.