A solid aluminum sphere has a radius of 2.34 m and atemperature of 89.0 °C. The sphere is then completely immersedin a pool of water whose temperature is 22.3 °C. The spherecools, while the water temperature remains nearly at 22.3 °C,because the pool is very large. The sphere is weighed in the waterimmediately after being submerged (before it begins to cool) andthen again after cooling to 22.3 °C. Use Archimedes' principleto find the magnitude of the difference between the weights.