Consider \(100 \mathrm{ft}^{3} / \mathrm{s}\) of water flowing down a rectangular channel measuring \(10 \mathrm{ft}\) wide. The normal depth is \(3.00 \mathrm{ft}\). A 4.0-ft-diameter pier is located in the channel. Find the water depth as it flows past the pier. Assume frictionless flow.