SOLUTION: In an evil experiment, a small spherical drop of oil is allowed to fall onto the surface of water so that it produces a thin film of oil covering a large area. a) Given that the v

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Question 388009: In an evil experiment, a small spherical drop of oil is allowed to fall onto the surface of water so that it produces a thin film of oil covering a large area.
a) Given that the volume of a drop of oil is 12.5 cubic mm, find the number of drops which can be produced by 5000 cubic mm of oil, and,
b)Given that the volume V of a sphere of radius r is 4/3 pi r^3, express r in terms of V and pi. Then calculate the radius of the drop of oil.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In an evil experiment, a small spherical drop of oil is allowed to fall onto the surface of water so that it produces a thin film of oil covering a large area.
a) Given that the volume of a drop of oil is 12.5 cubic mm, find the number of drops which can be produced by 5000 cubic mm of oil
5000/12.5 = 400 drops
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b)Given that the volume V of a sphere of radius r is 4/3 pi r^3, express r in terms of V and pi. Then calculate the radius of the drop of oil.
V+=+4%2Api%2Ar%5E3%2F3
r%5E3+=+3V%2F%284%2Api%29
r+=+%283V%2F%284%2Api%29%29%5E%281%2F3%29
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r+=+%283%2A12.5%2F%284%2Api%29%29%5E%281%2F3%29%29
r =~ 1.4397 mm
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