The circumference of the base of the cone of slant height 35 cm is 88 cm. Find its curved surface area.

Asked by Topperlearning User | 17th Oct, 2017, 09:12: AM

Expert Answer:

Slant height (l) = 35 cm. Let r  = radius of the cone

Circumference of the base = 88 cm

begin mathsize 12px style 2 πr space equals space 88 space cm
straight r space equals space fraction numerator 88 cross times 7 over denominator 2 cross times 22 end fraction
straight r space equals space 14 space cm end style

 

begin mathsize 12px style Curved space surface space area space equals space πr l space
equals 22 over 7 cross times 14 cross times 35
equals space 1540 space cm squared end style

The curved surface area is 1540 cm2

Answered by  | 17th Oct, 2017, 11:12: AM