Question: EUREKA ! (shouted Archimedes)

Archimedes supposedlly, was asked to determine whether a crown made for the king consisted of pure gold. According to 

legend, he solved this problem by weighing the crown first in air and then in water. Suppose the scale read 7.84 N when the 

crown was in the air and 6.84 N when it was in water.

 

What should Archimedes have told the king ?

 

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