Question:
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes and the ratio of their curved surfaces.
Solution:
$\frac{\text { Volume of cylinder } 1}{\text { Volume of cylinder } 2}=\frac{\pi(2 x)^{2} 5 y}{\pi(3 x)^{2} 3 y}=\frac{20}{27}$
$\frac{\text { Surface area of cylinder 1 }}{\text { Surface area of cylinder 2 }}=\frac{2 \pi \times 2 x \times 5 y}{2 \pi \times 3 x \times 3 y}=\frac{10}{9}$