5) King Krator the Merciless has called on Pogo, a humble goldsmith, to make a crown for the King. He gives Pogo exactly 14 oz of pure gold to fashion the crown and tells him that if he cheats the King, he will pay with his life ! Pogo leaves with the gold; he and his apprentices spend two weeks in making the crown; finally he returns to the court. When Pogo returns with the crown, King Krator finds that the crown weighs 397.25 grams, and has a volume of 20.58cm3. King Krator asks the court wizard for the density of gold, and Wizard tells the King that gold has a density of 19.3 times that of an equal volume of spring rain. Krator demands a slate, makes a few calculations, then sternly lifts his head to stare at Pogo. Does Pogo's head roll ?

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5) King Krator the Merciless has called on Pogo, a humble goldsmith, to make a crown for the
King. He gives Pogo exactly 14 oz of pure gold to fashion the crown and tells him that if he
cheats the King, he will pay with his life ! Pogo leaves with the gold; he and his apprentices
spend two weeks in making the crown; finally he returns to the court. When Pogo returns with
the crown, King Krator finds that the crown weighs 397.25 grams, and has a volume of
20.58cm3. King Krator asks the court wizard for the density of gold, and Wizard tells the King
that gold has a density of 19.3 times that of an equal volume of spring rain. Krator demands a
slate, makes a few calculations, then sternly lifts his head to stare at Pogo. Does Pogo's head
roll ?

Expert Solution
Step 1

The mass of gold given by King Krator to gold Smith Pogo is ---- 14 oz.

The density of gold=19.3 times that of an equal volume of spring rain.

Mass of gold given by Pogo =397.25 grams

Did the gold smith cheated the king?

 

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