A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is $\text{0.32 m}$. This high velocity water jet entrains additional water from the pipe and the total water leaves the pipe with a velocity $\text{6m/s}$ as shown in the figure.
The flow rate of entrained water is _______________ liters/$\text{s}\: (\textit{round off to two decimal places}$).