Q$1$b: A slurry consisting of glass spherical particles and water is placed into a cylindrical sedimentation tank. The diameter of the glass sphere is $3mm$ and its density $2500kg{m}^{-3}.$ The suspension contains $50\%$ solids by weight. The diameter of the vessel is $0\mathrm{.}75m.$ The density of water is $1000kg{m}^{-3}$ and viscosity $1{10}^{-3}$ Pas. Answer the following questions:

$($i$)$ Calculate the settling velocity of the glass spheres in $m{s}^{-1}.$

$($ii$)$ Determine the relative velocity between the fluid and the particle in $m{s}^{-1}.$

Use the graph in Figure $1$ for the Reynolds number and drag force calculations.