Answer:
21 units
Explanation:
You want the height (x) of a cone with base radius 9 units and volume 567π cubic units.
Volume
The volume of a cone is given by the formula ...
V = 1/3πr²h
Solving for the height, and using x for the height, we find ...
x = 3V/(πr²) = 3(567π units³)/(π(9 units)²) = 21 units
The height of the cone is 21 units.