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Example $5\mathrm{.}10$ Water is siphoned from a large reservoir through a constant diameter pipe as shown in the figure. Determine the maximum height of the hill, M$,$ over which the water can be siphoned without cavitation occurring. The end of the pipe $($point $3)$ is $6$ m $.$ below the free surface of the water in reservoir. $(h=6m.)$

$V_3=10,85\frac{m}{s}$

$M=4\mathrm{.}5m$