<PRE><B>Question 1044254</B>
these two cylinders are similar.
the ratio of their volumes is 8:27.
the height of cylinder A is 12cm.
find the height of cylinder B. 
:
{{{Va/Vb}}} = {{{8/27}}}
cross multiply
27Va = 8Vb
Va = {{{8/27}}}Vb
let h = the height of cylinder B
{{{pi*r^2*12}}} = {{{8/27}}}({{{pi*r^2*h}}})
divide both sides by {{{pi*r^2}}}
12 = {{{8/27}}}h
h = {{{27/8}}}(12)
h = 40.5 cm</PRE>