Question

Curved surface area of a cone is 308 cmn' and its slant height is 14 em. Find
radius of the base and (ii) total surface area of the cone.​

Answer 1

Answer:

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. Hence, the radius of the base is 7 cm.

Step-by-step explanation:

Given :

Curved surface area of the cone =308cm

2

and Slant height or l=14 cm.

Curved surface area of the cone =πrl

308=

7

22

×r×14

r=

(22×14)

(308×7)

r=7cm

Total surface area of the cone =πr(r+l)

=(

7

22

×7)(7+14)

=22×21

Total surface area of the cone =462cm

2

So, the radius of the base of the cone is 7 cm and the total surface area of the cone is 462cm

2

.