The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2 . Find the ratio between the height and radius of the cylinder .

Answers (1)

Solution:  Let h be the height and r be the radius of the cylinder . Then , 

                 frac2pi rh2pi rh+2 pi r^2= frac12

Rightarrow             frac2pi rh 2pi r(h+r)=frac12

Rightarrow            frachh+r=frac12Rightarrow 2h=h+r Rightarrow h=r Rightarrow h:r=1:1

Hence , the required ratio is 1:1 . 

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