Q. 84.1( 15 Votes )

The curved surface area of a cone is 2200 sq.cm and its slant height is 50 cm. Find the total surface area of cone.

(π = 22/7)

Answer :

Given: Curved surface area of cone (CSA) = 2200 cm2

Slant height of cone (l) = 50 cm


For total surface area, we have the formula


TSA = πrl + πr2


TSA = CSA + πr2 [, Curved surface area (CSA) = πrl] …(i)


Where, r = radius of the base of the cone


We have CSA, we just need to find radius of the base of the cone (r).


So, we know


CSA = πrl


Substituting values in above equation,




r = 14


Radius of the base of the cone = 14 cm


Thus, substituting value of CSA and r in equation (i),



TSA = 2200 + 616


TSA = 2816


Thus, total surface area of cone is 2816 cm2.


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