A company markets ethylene glycol antifreeze in halfgallon bottles. A machine fills and caps the bottles at a rate of 60 per minute. The \(68{ }^{\circ} \mathrm{F}\) ethylene glycol \(\left(ho=69.3 \mathrm{lb} \mathrm{m} / \mathrm{ft}^{3}, v=1.93 \times\right.\) \(10^{-4} \mathrm{ft}^{2} / \mathrm{s}\)) is pumped to the machine from a tank \(36 \mathrm{ft}\) away. The pressure at the discharge of the pump is \(35 \mathrm{psig}\), and the pressure at the inlet to the filling machine must be at least \(15 \mathrm{psig}\). Determine the diameter necessary for drawn copper pipe. The pipe has no elevation change.