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