murrayskull05 missed the word "average" in your question. He made the answer way too complicated--no calculus is necessary (regardless of whether the density is uniform or not).
By DEFINITION:
Avg. density = (total mass) / volume
Therefore,
total mass = (avg. density)(volume)
Since the problem gives you the average density and the volume, you can calculate the mass.
2007-09-11 08:10:03
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answer #1
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answered by RickB 7
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If it is stated in problem that the object has a uniform density, yes. If it's not explicitly stated, it could be simply implied, it depends on what you're studying at the moment. If you're doing problems with objects with uniform density (that is, that the density doesn't change, or, even better, it is NOT a function of the coordinates x,y,z of the object), it might be just implied.
After converting appropriatey the units of measure, just multiply the density times the volume and you have it.
If instead, it is explicitly stated that the density is NOT constant, you need the funcion of the density in respect of the three variables x,y,z and integrate that function on the volume.
It's interesting to note that the integral does indeed reduce itself to a multiplication of density by volume of the density is constant, which brings you back to the first part of the answer.
Edit:
Hmm interesting, i did miss the word "average". I read just "density". Well i guess that then everything beyond "After converting appropriatey the units of measure, just multiply the density times the volume" is just info for your personal knowledge. ;-) And possibly a way to impress you teacher, if this is a school problem.
2007-09-11 07:56:19
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answer #2
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answered by murrayskull05 2
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1032 kg/m³ * 93.2 ml * m³/10^6 ml * 1000 g/kg = 96.18 g
(to 4 sig figs)
2007-09-11 07:59:50
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answer #3
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answered by gebobs 6
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