Question 934400
You can evaluate the volume, and then use formula for volume of a cone to calculate the unknown height.


Cone:  you know r for radius but do not know h for height.


{{{system(v=(1/3)h*pi*r^2,v=(4/3)*pi*r^3)}}}


The volumes, v, are equal.


{{{(1/3)*pi*h*r^2=(4/3)*pi*r^3}}}


{{{h*r^2=4r^3}}}


{{{h=4r^3/r^2}}}


{{{highlight(h=4r)}}}, using then r=2,   find h=8.