Answer:
Height= 4m (nearest meter)
Step-by-step explanation:
[tex]\boxed{volume \: of \: cone = \frac{1}{3} \pi {r}^{2}h }[/tex]
Diameter= 2(radius)
Given that the diameter is 12m,
radius of cone
= 12 ÷2
= 6m
Let the height of the cone be h meters.
[tex]151 = \frac{1}{3} \pi(6^{2} )(h)[/tex]
[tex]151 = 12\pi h[/tex]
[tex]h = \frac{151}{12\pi} [/tex]
h= 4.0054 (5 s.f.)
Thus, the height of the cone is 4m. (nearest meter)
