A goat void of 250 m$^3$ is filled in 3 hours by hydraulic sand stowing method. Density of the sand is 2.6 tonne/m$^3$. If the filling factor of goat void is 0.9 and sand to water ratio in the stowing mixture is 1.0 tonne to 1.1 m$^3$, the stowing rate in m$^3$/h is ______.