Density = mass/volume.
If the
density of warm water is .9850994 g/cm3 and you want to find the volume of 250 kg of
water at that same temperature, and therefore, that same density, then volume would =
density/mass.
d=m/v
multiply
both sides by v, and you get:
dv =
m
then divide both sides by d, to get the formula for
volume:
v=m/d
Since water is
about 1 gm/cm3, I'm assuming that you mean this particular density is .985 g/ .994 cm3.
Now, we plug the numbers into the equation:
V = 250 kg/
.985g/.994cm3
First, let's change kg to g and change cm3 to
m3 since your answer calls for that. 1 cm3 = 10^-6 m3.
V =
250,000g / .985g/.000000994 m3.
Dividing by a fraction, we
then multiply 250,000 g by the reciprocal of that
fraction.
V = 250,000g *
.000000994m3/.985g
= .252 m3
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