QUESTION $8$

A liquid can be siphoned from a container as shown in Fig. $5,$ provided the end of the tube,

point $(3),$ is below the free surface in the container, point $(1),$ and the maximum elevation of

the tube, point $(2),$ is $$not too great.$$ Consider water at room temperature being siphoned from

a large tank through a constant$-$diameter hose. $($The atmospheric pressure is $1\mathrm{.}01105$ Pa$.$The

water vapor pressure at room temperature is $3\mathrm{.}17103$ Pa$.)$

$(1)$ Assuming H $=5$ meters, calculate the flow velocity at point $(3).(15)$

$(2)$ Determine the maximum height of the hill, H$,$ over which the water can be siphoned

without cavitation occurring.