Question

Two right circular cylinders of equal volumes have their heights in the ratio 1 : 2. What is the ratio of their radii ?

Answer 1

Let r₁ and r₂ be the radii of two right circular cylinders and h₁ and h₂ be the heights.

Since,

Both the cylinder has the same volume.

Therefore,

`pir_1^2 h_1 = pir_2^2 h_2`

`(r_1/r_2)^2 = h^2/h_1`

`(h_1 :h_2 = 1:2 , "given")`

`(r_1/r_2)^2 = (2/1)`

`r_1 :r_2 = sqrt2 : 1`