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. (Assume π = 22/7)

Given

Curved surface area of a cone is 308 cm2 

Slant height is 14 cm.

Find out

We have to find 

(i) radius of the base

(ii) total surface area of the cone

Solution:

(i) radius of the base

Curved surface area = 308 cm2

Curved surface area of cone = πrl

(308) = (22/7)×r×14

308 = 44 r

r = 308/44 = 7

Radius of a cone base is 7 cm.

(ii) total surface area of the cone. 

Total surface area of cone = πr(l+r)

Total surface area of cone = 308+(22/7)×72 

= 308+154

= 462 cm2

Therefore, the total surface area of the cone with CSA as 308 cm2 is 462 cm2.

Answer

(i) Radius of the base=7cm

(ii) The total surface area of the cone with CSA as 308 cm2 is 462 cm2.

Was this answer helpful?

  
   

0 (0)

Upvote (0)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

BOOK

Free Class

Ask
Question