The radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4 . Calculate the ratio of their curved surface areas.

Answers (1)

Solution:  Let the radii of the cylinders  be 2r and 3r respectively , and their heights be 5h and 4h respectively . 

                 Let  S_1  and S_2  be the curved surface area of two cylinders . Then , 

                  S_1  = Curved surface area of the cylinder of height 5h and radius 2r . 

Rightarrow              S_1= 2pi 	imes 2r 	imes 5h= 20pi rh

                   S_2= Curved surface area of the cylinder of height 4h and radius 3r .

Rightarrow                S_2= 2pi 	imes 3r 	imes 4h =24pi rh

	herefore                fracS_1S_2= frac20pi rh24pi rh=frac56Rightarrow S_1:S_2=5:6

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