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

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)