Let's denote the radius of the cone as 'r' and the height as 'h'.
The formula for the volume of a cone is:
V = (1/3) * π * r^2 * h
And the formula for the circumference of the base of a cone is:
C = 2 * π * r
We know that the volume of the cone is 33π/3, so:
(1/3) * π * r^2 * h = 33π/3
Simplifying this equation, we get:
π * r^2 * h = 99π
r^2 * h = 99
We also know that the circumference of the base of the cone is 6π, so:
2 * π * r = 6π
Simplifying this equation, we get:
r = 3
Now we can substitute this value of 'r' into the equation we obtained earlier:
r^2 * h = 99
3^2 * h = 99
h = 11
Therefore, the height of the cone is 11 units.