Question

Two right circular solid cylinders have radii in the ratio 3 : 5 and heights in the ratio 2 : 3. Find the ratio between their volumes. 

Answer 1

Let the radii and height of two right circular cylinders be r₁, r₂ and h₁, h₂ respectively.

It is given that,

`r_1/r_2 = 3/5` and `h_1/h_2 = 2/3`

`"Volume of cylinder 1"/"Volume of cylinder 2" = (pi(r_1)^2h_1)/(pi (r_2)^2 h_2)`

= `(r_1/r_2)^2 xx (h_1/h_2)`

= `(3/5)^2 xx 2/3`

= `9/25 xx 2/3`

= `18/75`

= `6/25`

∴ Ratio between their volumes is 6 : 25.