Answer:
20
Step-by-step explanation:
The volume of a cone is given as:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
where r = radius
h = height
The volume of the cone is 540π and its radius is 9.
This implies that:
[tex]540 \pi = \frac{1}{3} \pi * 9^2 * h\\\\h = \frac{540 * 3}{81} \\\\h = 20[/tex]
The height of the cone is 20.