Question

The radii of two cylinders are in the ratio 2:3
✓ and their heights are in the ratio 5:3. The ratio
of their volumes is
(a) 27:20
(b) 20:27
(c) 4:9
(d) 9:4​

Answer 1

Let the radii be 2x and 3x,

let the height be 5y and 3y.

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