Answer:
h=9
Step-by-step explanation:
Since diameter is 12 and radius is 1/2 of diameter.
R=6
Volume of a cone is
[tex] \frac{h}{3}\pi \times r {}^{2} [/tex]
We need volume is 340 m^3.
[tex]340 = 3.14(6 {}^{2} ) \frac{h}{3} [/tex]
[tex]340 = 3.14(36) \frac{h}{3} [/tex]
[tex] \frac{340}{3.14 \times 36} = \frac{h}{3} [/tex]
[tex] \frac{1020}{3.14 \times 36} = h[/tex]
[tex]h = 9[/tex]
