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Find the height of a cone with a diamater of 12m whose value is 151 meters cubed, then round it to the nearest meter

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Answer:

Height= 4m (nearest meter)

Explanation:


\boxed{volume \: of \: cone = (1)/(3) \pi {r}^(2)h }

Diameter= 2(radius)

Given that the diameter is 12m,

radius of cone

= 12 ÷2

= 6m

Let the height of the cone be h meters.


151 = (1)/(3) \pi(6^(2) )(h)


151 = 12\pi h


h = (151)/(12\pi)

h= 4.0054 (5 s.f.)

Thus, the height of the cone is 4m. (nearest meter)

User Hnm
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