Answer:
5 cm
Step-by-step explanation:
The formula for the volume of a cylinder is:
[tex]Volume=\pi r^2 h[/tex]
It is given,
V = [tex]405\pi[/tex]
r = 9
We substitute into formula and find height (h). Shown below:
[tex]V=\pi r^2 h\\405\pi = \pi (9)^2 h\\405\pi = \pi(81)h\\\frac{405\pi}{81\pi}=h\\h=5[/tex]
The height is 5 cm
