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
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*pi*r^3/3}}}
{{{r^3 = 3V/(4*pi)}}}
{{{r = (3V/(4*pi))^(1/3)}}}
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{{{r = (3*12.5/(4*pi))^(1/3))}}}
r =~ 1.4397 mm
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