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CBSE Class 9 Answered

The area of the base of a right circular cone is 616 cm2 and its slant height is 9 cm. Find its total surface area.
Asked by Topperlearning User | 17 Oct, 2017, 08:08: AM
answered-by-expert Expert Answer

Given: Slant height (l) = 9 cm. Let r = radius of the base of the cone.

Area of the base = 616 cm2

 

begin mathsize 12px style πr squared space equals space 616
22 over 7 straight r squared space equals space 616
straight r squared space equals space 616 cross times 7 over 22
straight r squared space equals space 196
straight r space equals space 14 space cm
Total space surface space area space equals space πr space open parentheses straight l plus straight r close parentheses space
Total space surface space area space equals 22 over 7 cross times 14 open parentheses 9 plus 14 close parentheses
Total space surface space area space equals 1012 space cm squared
Total space surface space area space of space straight a space cone space is space 1012 space cm squared end style

 

 

Answered by | 17 Oct, 2017, 10:08: AM
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