There is a process in which ball bearings made of plain carbon steel are rolling from an oven at a uniform temp of 870 degrees Celsius into a water bath where the water is at 37 degrees Celsius to quench them. A rubber conveyer belt then carries them away. For the rubber to work, the balls must be no hotter than 90 degrees Celsius when leaving the water. The convective coefficient is 590 W/m^2-K and the balls are allowed to be up to 1.0 cm in diameter. If the balls stay in the water bath for 27 seconds, calculate the total amount of heat to be removed from the water to maintain its uniform temperature of 37 degrees Celsius if 100,000 balls are to be quenched per hour