We have the next formula for the volume of a cone
[tex]V=\frac{\pi r^2h}{3}[/tex]
we have
d=diameter
r=radius
h=height
V=volume
d=17 ft
r=17/2=8.5 ft
V=190.07 cubic feet
we clear the height
[tex]h=\frac{3V}{\pi r^2}[/tex]
then we substitute the values given
[tex]h=\frac{3(190.07)}{\pi(8.5)^2}=2.51ft[/tex]
