Natural gas (methane) flows from a 3-in.-diameter gas main, through a 1-in.-diameter pipe, and into the burner of a furnace at a rate of \(100 \mathrm{ft}^{3} /\) hour. Determine the pressure in the gas main if the pressure in the 1-in. pipe is to be \(6 \mathrm{in}\). of water greater than atmospheric pressure. Neglect viscous effects.