A storage tower of height $h=10m$ and diameter $D=1\mathrm{.}0m$ supplies water to a house. A horizontal pipe at the base of the tower has a diameter $d=10cm.$ To satisfy the needs of the home, the supply pipe must be to deliver water at rate $R=0\mathrm{.}001m\frac{3}{s},$

$($a$)$ if water were flowing at the maximum rate, what would be the pressure in the horizontal pipe $($ at point B$)$

$(3$ marks$)$

$($b$)$ A smaller pipe, of diameter $d^{\text{'}}=0\mathrm{.}5cm$ supplies the second floor of the house, a distance of $5m$ above the ground level. What are the flow speed and water pressure in this pipe? Neglect the viscosity of water.

$(3$ marks$)$