Question 539763
The radius of that sphere is half the diameter, 3 cm.
The volume of a sphere of radius r is {{{V=(4/3)*pi*r^3}}}.
The volume of a cylinder with base radius r, and height h is {{{V=pi*r^2*h}}}.
The volume of your sphere in {{{cm^3}}} is {{{V=(4/3)*pi*3^3=36*pi}}}.
The volume of your cylinder in {{{cm^3}}} is {{{V=pi*3^2*h=9*pi*h}}}.
{{{36*pi=9*pi*h}}}
dividing by {{{pi}}} and by 9:
{{{36=9*h}}} -->{{{h=36/9=4}}}
The height is 4 cm.