For this case we have that by definition, the volume of a cone is given by:
[tex]V = \frac {1} {3} * \pi * r ^ 2 * h[/tex]
Where:
r: It is the radius of the cone
h: Is the height of the cone
According to the data of the statement we have to:
[tex]r = \frac {144} {2} = 72 \ ft\\V = 81430.1 \ ft[/tex]
Substituting we have:
[tex]81430.1 = \frac {1} {3} * \pi * (72) ^ 2 * h\\81430.1 = \frac {1} {3} * \pi * 5184 * h\\81430.1 = 1728 * \pi * h\\81430.1 = 5425.92 * h\\h = \frac {81430.1} {5425.92}\\h = 15.008[/tex]
We have that the height of the cone is approximately [tex]15 \ ft[/tex]
Answer:
[tex]15 \ ft[/tex]
