Question 721303
radius of cylinder 1: 3r
radius of cylinder 2: r

height of cyl 1: h
height of cyl 2: y


volume of cylinder 1: {{{pi*(3r)^2*h}}}
volume of cylinder 2: {{{pi*r^2*y}}}


The volumes are expected to be equal.  We want to know the ration of y to h.  
{{{pi*(3r)^2*h=pi*r^2*y}}}
Divide both sides by {{{pi*r^2}}},
{{{9h=y}}}
{{{highlight(y/h=9)}}}.  Ratio of heights of cylinder 2 to cylinder 1