Question 999085
Cylinder volume, {{{h*pi*r^2}}}


Sphere volume, {{{(4/3)pi*r^3}}}.


If their diameters are equal then also their radii are equal.  h=36 for the cylinder.



Their volumes are described as equal.
{{{h*pi*r^2=(4/3)pi*r^3}}},  both sides contain factor {{{pi*r^2}}},...

{{{h=(4/3)r}}}

{{{highlight(r=(3/4)h)}}}-------The answer in purely symbolic form.