Two right circula

Let the two cylinders be with volume V₁ and V₂ with their respective radii and height as r₁, r₂ and h₁, h₂

Now given ratio of their heights i.e. h₁:h₂ = 1:2

∴ h₁/h₂ = 1/2

Volume of cylinder = πr²h

Given that volumes of both cylinder are equal i.e. V₁ = V₂

∴ π × r₁² × h₁ = π × r₂² × h₂

h₁/h₂ = r₂²/ r₁²

r₂²/ r₁² = 1/2

r₂/r₁ = 1/√2

r₁/r₂ = √2/1

Therefore the ratio of their radii is r₁:r₂ = √2:1