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Answered

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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]

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