Question

A cone has a volume of 12 pi and a radius of two what is the height

Answer 1

h = 2.86

Explanation:

Given: Cone; Volume = 12pi, raduis = 2

To find: The height

Formula:
`V= \pi r^2 (h)/(3)`

Solution: Triple the volume amount. For this cone, the volume is 12. Multiplying the volume by 3 results in 36.

`12` ×
`3 = 36`

Square the radius, and then divide the radius squared into the tripled volume. The cone's radius is 2. The square of 2 is 4, and 36 divided by 4 is 9.

`36` ÷
`4 = 9`

Divide the resulted amount calculated by pi, which is 3.14, to calculate the cone's height. 9 divided by pi results in 2.86.

`9` ÷
`3.14 = 2.86`

Therefore, the height of this cone is 28.6.