Answer:
6 cm
Step-by-step explanation:
Hello!
The formula for the volume of a cylinder is: [tex]V = \pi r^2h[/tex]
Solve for h, given volume is 54π, and radius is 3:
- [tex]V = \pi r^2h[/tex]
- [tex]54\pi = \pi(3)^2h[/tex]
- [tex]54 = 9h[/tex]
- [tex]h = 6[/tex]
We can check:
- [tex]V = \pi r^2h[/tex]
- [tex]V = \pi(3)^2*(6)[/tex]
- [tex]V = 54\pi[/tex]
Correct! The height is 6 cm.
