The flow rate of benzene is being measured by a venturi flowmeter in a pipe with a $75-mm$ internal diameter. The venturi flowmeter has a throat diameter of $50mm.$ A mercury manometer shows a differential of $15mmHg.$ The venturi meter has a flow coefficient of $0\mathrm{.}98.$ Under flowing conditions, benzene has a density of $878\mathrm{.}7k\frac{g}{m^3}$ and a viscosity of $1CP.($Density of Mercury: ${}_{Hg}=13600k\frac{g}{m^3})$

$)=(1{10}^{-3}k\frac{a}{m.s}$

Calculate the velocity at the center $($maximum velocity$)$ and the average velocity using the given chart below.