Question

The radii of two cylinders are in ratio of 1 is 2 root 3 if the volume of two cylinders be same find the ratio of their respective heights

Answer 1

Answer:

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