Question 944619
For a cone 
{{{V=pi* r^2 *(h/3)}}}
{{{V=pi*r^2(18cm/3)}}}
{{{V=(r^2)(6 cm*pi)}}} Divide each side by {{{6 cm*pi}}}
{{{V/(6 cm*pi)=r^2}}}
{{{(96 cu cm * pi)/(6 cm * pi)=r^2}}}
{{{16 sq cm=r^2}}} find square root of each side
4 cm = r 
If x is the diameter, x=2r=8 cm ANSWER diameter is 8 cm
Check
V={{{96*pi}}}, h=18 cm, r=4 cm
{{{V=pi*r^2(h/3)}}}
{{{(96cucm*pi)=pi * 4 cm^2(18cm/3)}}}
{{{ 96cucm*pi=pi * 16sqcm(6cm)}}}
{{{ 96cucm*pi=96cucm*pi}}}