The radii of two cylinders are in the ratio $3 : 4$ , and their height are in the ratio $4 : 3$ . Find the ratio of their volumes.

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Solution

Given Cylinder radii ratio $r_{1} r_{2} = 3 : 4$
height volume $= h_{1} : h_{2} = 4 : 3$
volume ratio $= \frac{π r_{1}^{2} h_{1}}{π r_{2}^{2} h_{2}} = (\frac{r_{1}}{r_{2}})^{2} \times (\frac{h_{1}}{h_{1}})$
$= (\frac{3}{4})^{2} \times \frac{4}{3}$
$= \frac{3}{4}$

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