Question

A piece of metal with a mass of 140. g is placed in a 50 mL graduated cylinder. The water level rises from 20. mL to 41 mL. What is the density of the metal?

Answer 1

1. An object submerged in water, rises up a volume of water equal to the volume of the object. 


2.   1 milliliter of water has a volume of 1 cubic centimeters. 


3.    Mass= Density * Volume
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The water level rises from 20.mL to 41.mL means that a volume of 21mL of water has been displaced.              

This means that the volume of the object is 21 cm cubed.        (by 1 and 2)

By 3, the density of the piece of metal is:

Density=Mass/Volume=140 g / 21 cm^3= (140/21) g/cm^3=6.67 g/cm^3


Answer: 6.67 g/cm^3