The radii of two cylinders are in the ratio $2:3$ and their heights are in the ratio $5:4$. The ratio of…
The radii of two cylinders are in the ratio $2:3$ and their heights are in the ratio $5:4$. The ratio of their volumes is:
- $2:3$
- $5:9$
- $10:27$
- $4:9$
Solution
Ratio of volumes $= \dfrac{r_{1}^{2} h_{1}}{r_{2}^{2} h_{2}} = \dfrac{4 \times 5}{9 \times 4} = \dfrac{20}{36} = \dfrac{5}{9}$.
Asked in: IMO
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