Question $2(20$ Marks$)$

$2\mathrm{.}1$ Water flows through a length of pipe $AB,$ of diameter $1200mm,$ at $3\frac{m}{s}.$ and then

passes through a length of pipe BC$,$ of diameter $1500mm.$ At $C$ the pipe folks, with

branch $CD$ of diameter $800m$ conveying one$-$third of the flow through $AB.$ The velocity

in branch CE is $2\mathrm{.}5\frac{m}{s}.$

$2\mathrm{.}1\mathrm{.}1$ Determine the velocity in pipe BC and $CD.(6)$

$2\mathrm{.}1\mathrm{.}2$ Determine the diameter of the pipe CE$.(3)$