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 Question from Geli: A cylinder with a radius r and height 2r+4 contains a cube with edge length r√2. What fraction of cylinder volume is taken up by the cube

Hi,

The volume of a cylinder of radius $r$ and height $h$ is given by $V = \pi r^2 h \mbox{ cubic units.}$

The volume of a cube of side length $s$ is given by $V = s^{3}$ cubic units.

For your cylinder and cube write the fraction

$\frac{\mbox{ volume of the cube}}{\mbox{ volume of the cylinder}}$

and simplify as much as possible.

Penny