Answer:
7 m
Explanation:
diameter = 12 m, radius = 6 m, volume of cone: [tex]\sf \frac{1}{3} \pi r^2 h[/tex]
solve:
[tex]\hookrightarrow \sf \frac{1}{3} \pi r^2 h = 264[/tex]
[tex]\hookrightarrow \sf \frac{1}{3} \pi (6)^2 h = 264[/tex]
[tex]\hookrightarrow \sf \pi (6)^2 h =792[/tex]
[tex]\hookrightarrow \sf h =\dfrac{792}{ \pi (6)^2}[/tex]
[tex]\hookrightarrow \sf h = 7[/tex]