Glycerin of density $1.25 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}$ is flowing through the conical section of pipe The area of cross-section of the pipe at its ends are $10 \mathrm{~cm}^{2}$ and $5 \mathrm{~cm}^{2}$ and pressure drop across its length is $3 ~\mathrm{Nm}^{-2}$. The rate of flow of glycerin through the pipe is $x \times 10^{-5} \mathrm{~m}^{3} \mathrm{~s}^{-1}$. The value of $x$ is ___________.