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 volumes and 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.

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

Answer 2

Answer:

Volume will be 20:27

CSA will be 10:9