NEED AN ANSWER IN $30$ MINS!!!!

A prototype spillway is to be designed that can carry a flow rate of $Q_P=1160\frac{m^3}{s}$ over its crest.

You are required to build a smaller geometrially scaled model of the spillway at a scale of $L_r=27.$ For both prototype and

model, you can assume density of water ${}_w=1001k\frac{g}{m^3},$ dynamic viscosity of water ${}_w=0\mathrm{.}001Pa*s$ and acceleration

due to gravity $g=9\mathrm{.}81\frac{m}{s^2}.$

What is the flow rate of your model spillway $(Q_M)?$ Provide your answer to $3$ decimal places.

$Q_M=,\frac{m^3}{s}$