Question

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their curved surfaces.

Answer 1

Let the radii be 2x and 3x
let the height be 5y and 3y

so,
ratio of volume =r²h/R²H =(2x)²×5y/(3x)²×3y =20x²y/27x²y =20/27

ratio of CSA =rh/RH =2x×5y/3x×3y =10xy/9xy =10/9

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Answer 2

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