Question 959174
The glass:
{{{6*pi*4^2}}}, volume.


The similar cylinder:
k is a proportionality constant.
{{{(6k)*pi*(4k)^2}}}, volume.


216 times the glass volume is the cylinder's volume.
{{{216*6*pi*4^2=6k*pi*(4k)^2}}}


{{{216*6*4^2=6*4^2*k^3}}}


{{{k^3=(216*6*4^2)/(6*4^2)}}}


{{{k^3=216}}}


{{{highlight_green(k=root(3,216)=6)}}}


The radius of the cylinder is {{{6*k=6*6=highlight(36)}}}.