Iron has a density of 7.86 g/cm3. As part of their exam, students in the junior class at a school were to mass a metal sphere, measure its diameter, and calculate its density. Some of the seniors sneaked into the lab the weekend before, took the iron sphere, took it downtown, and had the interior partially hollowed and the surface repaired so it wouldn't be noticed, and replaced it in the cabinet late on Sunday. The junior students who had this iron sphere for their "unknown"obtained 9.30 cm for the diameter and 2.44 kg for the mass. What value should they have reported for the mass of the sphere if it had not been tampered with, and what was the volume of the hollowed out space in the interior of the sphere?volume =
(πr3)Hint: Read the problem carefully. Follow the units and remember that the diameter is twice the radius. Use the difference in mass to find the missing volumes.
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