Question $4[20$ marks$]$a$)$ Determine the rate of flow of water through a pipe of $250$mm diameter placed in an inclinedposition where a venturimeter is inserted, having a throat diameter of $150$mm$.$The difference of pressure between the main and throat is measured by a liquid of specificgravity $0\mathrm{.}8$ in a U$-$tube which gives a reading of $300$mm$.$ The loss of head between themain and throat is $0\mathrm{.}3$ times the kinetic head of the pipe. $[10$ marks$]$b$)$ Assuming the flow of water from an open reservoir at point A to an open reservoir at point D$,$assisted by a pump connected between the two reservoirs. With the aid of a diagram, graphicallyrepresent and explain the Energy Changes in the fluid System clearing showing the Hydraulicgradient line and the Total energy line.