The morning inspection of the tank farm finds a leak in the turpentine tank. The leak is repaired. An investigation finds that the leak was \(0.1 \mathrm{in}\). in diameter and \(7 \mathrm{ft}\) above the tank bottom. Records show that the turpentine level in the tank was \(17.3 \mathrm{ft}\) before the leak occurred and \(13.0 \mathrm{ft}\) after the leak was repaired. The tank diameter is \(15 \mathrm{ft}\). Determine

(a) the total amount of turpentine spilled,

(b) the maximum spill rate, and

(c) the total time the leak was active. The density of turpentine at these conditions is \(55 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}\).