Answer:
h = 9 m
Step-by-step explanation:
[tex]V_{cone}=340\: m^3[/tex]
diameter (d) = 12 m
[tex]\implies radius\:(r)= \frac{12}{2}=6\:m[/tex]
[tex] \because \: V_{cone}= \frac{1}{3} \pi {r}^{2} h \\ \\ \implies \: h = \frac{3V_{cone}}{\pi {r}^{2} } \\ \\ \implies \: h = \frac{3(340)}{3.14 {(6)}^{2} } \\ \\ \implies \: h = \frac{1020}{113.04} \\ \\ \implies \: h = 9.02335456 \\ \\ \implies \: h \approx 9 \: m[/tex]
