Problem $11\mathrm{.}099-$ Stokes law

Stokes law can be used to determine the viscosity of a fluid by dropping a spherical object in it and measuring the terminal speed of the object in that fluid. This can be done by plotting the distance traveled against time and observing when the curve becomes linear. During such an experiment, a $5-$mm$-$diameter glass ball $(\backslash (\backslash$rho$=2500\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ))$ is dropped into a fluid whose density is $\backslash (875\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ),$ and the terminal speed is measured to be $\backslash (0\mathrm{.}15\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Disregarding the wall effects, determine the viscosity of the fluid. $($Round the final answer to three decimal places.$)$