Looking at how Archimedes discovered his principle during a bath and thinking about if King Hiero’s crown was actually made of pure gold, the following quantities can be given. The crown weighed 3.55 kg (f= 34.8 N) in air and 3.25 kg (f= 31.9 N) in water. With the density of gold being 19,300 kg/m3. How would I determine if the crown is made of pure gold, without weighing the crown in water an instead using an ordinary bucket with no calibration for volume? Any help would be greatly appreciated, as I am struggling to answer this question.

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter12: Fluid Dynamics And Its Biological And Medical Applications
Section: Chapter Questions
Problem 34PE: Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow...
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Looking at how Archimedes discovered his principle during a bath and thinking about if King Hiero’s crown was actually made of pure gold, the following quantities can be given. The crown weighed 3.55 kg (f= 34.8 N) in air and 3.25 kg (f= 31.9 N) in water. With the density of gold being 19,300 kg/m3. How would I determine if the crown is made of pure gold, without weighing the crown in water an instead using an ordinary bucket with no calibration for volume? Any help would be greatly appreciated, as I am struggling to answer this question. 

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