help with my review problem...day three?

Question

Archimedes' principle can be used not only to determine the specific gravity of a solid uisng a known liquid. The reverse can be done as well.(a) as an example, a 3.40-kg aluminum ball has an apparent mass of 2.10kg when submerged ina particular liquid: calculate the density of the liquid.

Answer 1

Start by setting up some variables

The density of Al is Ad
The volume of the sphere is V
the density of the liquid is Ld

from the statement
3.4=Ad*V
and
3.4-2.1=Ld*V
or
1.3=Ld*V
divide the first by the second
3.4/1.3=Ad/Ld
Ld=1.3*Ad/3.4

The specific gravity of Al is about 2.6
so
Specific gravity of the liquid is
2.6*1.3/3.4

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