Question

The radii of two cylinders are in the ratio 2 : 2 and their heights are in the ratio 5 : 3. Calculate the ratio of their volumes and the ratio of their curved surfaces.

Answer 1

Given,

Ratio of radii of cylinders = r₁ : r₂ = \(\cfrac23\)

Ratio oh heights of cylinders = h₁ : h₂ = \(\cfrac53\)

So, ratio of their volumes = 

Ratio of their curved surface areas = 2πr₁h₁ : 2πr₂h₂ = \(\cfrac{10}9\)