A viscous fluid flows in a $0\mathrm{.}080-m-$diameter pipe such that its velocity measured $0\mathrm{.}011$ m away from the pipe wall is $0\mathrm{.}9\frac{m}{s}.$ If the flow is laminar, determine $($a$)$ the centerline velocity and $($b$)$ the flowrate.

$($a$)V_c=\frac{m}{s}$

$($b$)Q={10}^{-3}\frac{m^3}{s}$