Question

3. 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.
2.
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Answer 1

Answer:

Curved surface area of the cone = 308 sq cm and Slant height or l = 14 cm. So, the radius of the base of the cone is 7 cm and the total surface area of the cone is 462 sq 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

.

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Answer 2

r = 7, A = 462

Step-by-step explanation:

curved surface area = πrl

22/7 * r * 14 = 308 => r = 7 cm

T.S.A = πr ( r + l ) = 22/7 *7 * (7+14)

= 462 cm^2