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alina1380 [7]
3 years ago
12

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

Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Answer:

Height= 4m (nearest meter)

Step-by-step explanation:

\boxed{volume \: of \: cone =  \frac{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 =  \frac{1}{3} \pi(6^{2} )(h)

151 = 12\pi h

h =  \frac{151}{12\pi}

h= 4.0054 (5 s.f.)

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

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The equation is given as:

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