Question 584499
A sphere is inscribed in a cylinder (the great circle is is also the circumfrance of the cylinder). Find the ratio (simplified) of the volume of the sphere to the volume of the cylinder.
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For the cylinder:  {{{Vol = pi*r^2*h}}}
h = 2r
--> {{{Vol = pi^r^2*2r = 2 pi*r^3}}}
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For the sphere:  {{{Vol = 4*pi*r^3/3}}}
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Ratio = {{{(4*pi*r^3/3)/(2*pi*r^3)}}}
= {{{(4/3)/2 = 2/3}}}