The radii of 2 cylinders are in the ratio

Asked by admin @ 17/08/2021 in Math viewed by 287 People

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 volumes and the ratio of their curved surfaces.

Answered by admin @ 17/08/2021

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.

the value of x and y can be termed to be get highes value and therefore bring forth in taking radius calculation

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