A $3$ cm inside diameter pipe is being used to pump beer into a cylindrical storage tank. The

tank is $1\mathrm{.}5$ m diameter and $3$ m high. The density of the beer is $1040k\frac{g}{m^3}$ and viscosity is

$1600{10}^{-6}Pa*s.$

a$)$ What is the minimum time to fill the tank up to $2$ m with beer if it is flowing under laminar

conditions in the pipe?

b$)$ What will be the maximum time to fill the tank up to $2$ m if the flow in the pipe is turbulent?