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Flow rate (1 Viewer)

Thylacine

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Can someone help me with this.
The flow rate of water out of a hole in a tank is known to be proportional to the squareroot of the height of water above the hole.
That is,

dV/dt = sq root(h)

Suppose the tank has constant cross-sectional area A, show that the height of water in the tank is given by

h = ((-kt + C)/2)2

If the tank is 9m high, and it takes 5hrs for it to drain from full to half full, how much longer will we have to wait until it is completely empty?
 
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