A settling tank contains solid particles that have a wide range of sizes. Water is pumped into the tank from the bottom and overflows on top at a rate of $10,000 \mathrm{gal} / \mathrm{h}$. If the tank diameter is $3 \mathrm{ft}$, what separation of particle size is achieved (i.e., what size particles are carried out to the top of the tank, assuming the particles to be spherical)? Solid density = $150 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}$.