Legend says that Archimedes,in determining whether or not the king's crown was made of pure gold,measured its volume by the water displacement method.If the density of gold is 19.3 g/cm³,and the crown's mass is 600 g,what volume would be necessary to prove that it is pure gold? A) 31.1 cm³ B) 0.03 × 10³ cm³ C) 32.1 × 10³ cm³ D) 30.1 × 10−² cm³ E) 11 580 cm³

Question

Quizplus · Accepted Answer

To determine the volume of the crown, Archimedes measured its water displacement. The volume of the displaced water is equal to the volume of the crown. We can use the formula:

density = mass/volume

Solving for the volume, we get:

volume = mass/density

Substituting the given values, we get:

volume = 600 g / 19.3 g/cm3
volume = 31.1 cm3

Therefore, the necessary volume to prove that the crown is pure gold is 31.1 cm3. 
The correct answer is A.

Legend Says That Archimedes,in Determining Whether or Not the King's