Flow rate in a thin pipe

A horizontal pipe $2.0\mathrm{m}$ long and of radius $1.0\mathrm{mm}$ carries water ($\eta =1.0\cdot 10^{-3}\mathrm{Pa}\cdot \mathrm{s}$) with a pressure difference of $4.0\cdot 10^3\mathrm{Pa}$ between its ends. Compute the flow rate with Poiseuille’s law and verify with the Reynolds number that the flow is laminar.