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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)

D Deependra Verma

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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