An iron casting containing a number of cavities weighs 2.359×104N in air and 1.901×104N in water. What is the total volume of all the cavities in the casting? The density of iron (that is, a sample with no cavities) is 7.870 g/cm3.
The weight of the iron casting in the air is

The mass of the iron casting is

The density of the iron is

The volume of the iron in the cast is

And the weight in the water is

The change in the weight is given by


The density of the water is

So, the volume of the cast is

So, the volume of the cavities in the cast is

Changing the units we get

An iron casting containing a number of cavities weighs 2.359×104N in air and 1.901×104N in water....
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