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Dear Student ,
Please find below the solution to the asked query :

$$\begin{gathered} \mathrm{Let} \mathrm{the} \mathrm{radius} \mathrm{of} \mathrm{cylinder} \mathrm{be} {\mathrm{r}}_1 \mathrm{and} \mathrm{height} \mathrm{of} \mathrm{cylinder} \mathrm{be} {\mathrm{h}}_1 . \\ \mathrm{Let} \mathrm{the} \mathrm{radius} \mathrm{of} \mathrm{cone} \mathrm{be} {\mathrm{r}}_2 \mathrm{and} \mathrm{height} \mathrm{of} \mathrm{cone} \mathrm{be} {\mathrm{h}}_2 . \\ \frac{{\mathrm{r}}_1}{{\mathrm{r}}_2}=\frac{3}{5} \mathrm{and} \frac{{\mathrm{h}}_1}{{\mathrm{h}}_2}=\frac{3}{4} \\ \mathrm{Volume} \mathrm{of} \mathrm{cylinder} , {\mathrm{v}}_1={{\mathrm{\pi r}}_1}^2{\mathrm{h}}_1 \\ \mathrm{Volume} \mathrm{of} \mathrm{cone} , {\mathrm{v}}_2=\frac{1}{3}{{\mathrm{\pi r}}_2}^2{\mathrm{h}}_2 \\ \frac{{\mathrm{v}}_1}{{\mathrm{v}}_2}=\frac{{{\mathrm{\pi r}}_1}^2{\mathrm{h}}_1}{\frac{1}{3}{{\mathrm{\pi r}}_2}^2{\mathrm{h}}_2}=3{\left(\frac{{\mathrm{r}}_1}{{\mathrm{r}}_2}\right)}^2\left(\frac{{\mathrm{h}}_1}{{\mathrm{h}}_2}\right) \\ \frac{{\mathrm{v}}_1}{{\mathrm{v}}_2}=3{\left(\frac{3}{5}\right)}^2\left(\frac{3}{4}\right)=\frac{81}{100} \\ \mathrm{Ratio} \mathrm{of} \mathrm{their} \mathrm{volume} \mathrm{is} 81 : 1000 . \end{gathered}$$

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