A solid aluminum sphere has a radius of 2.28 m and a temperature of 89.1 °C. The sphere is then completely immersed in a pool of water whose temperature is 11.9 °C. The sphere cools, while the water temperature remains nearly at 11.9 °C, because the pool is very large. The sphere is weighed in the water immediately after being submerged (before it begins to cool) and then again after cooling to 11.9 °C. Use Archimedes' principle to find the magnitude of the difference between the weights.