Answer:
h = 2.86
Step-by-step explanation:
Given: Cone; Volume = 12pi, raduis = 2
To find: The height
Formula: [tex]V= \pi r^2 \frac{h}{3}[/tex]
Solution: Triple the volume amount. For this cone, the volume is 12. Multiplying the volume by 3 results in 36.
[tex]12[/tex] × [tex]3 = 36[/tex]
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.
[tex]36[/tex] ÷ [tex]4 = 9[/tex]
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.
[tex]9[/tex] ÷ [tex]3.14 = 2.86[/tex]
Therefore, the height of this cone is 28.6.
