5. [10 pts] A cylindrical shaped dispense bottle filled with a viscous fluid of 1.12x102 N.s/m² kinematic viscosity and 1.45x10³kg/m³ density. The diameter of the bottle 4.C cm and the

height of the fluid from the dispensing outlet is 1.D cm. The outlet diameter is 5 mm. Best estimate the time required to empty the bottle completely. Assume that the bottle is not being squeezed (as not shown in the figure below) and the cap at the top is lose that allows air flow. The outlet flow profile can be considered as fully developed and quasi steady.

Fig: 1

Fig: 2