Question

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

Answer 1

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)