the formula of the cone is
[tex]V=\frac{1}{3}h\pi r^2[/tex]
we need to clear h
[tex]h=\frac{3V}{\pi r^2}[/tex]
we substitute the values
[tex]h=\frac{3\mleft(123.43968\mright)}{3.14\cdot(3.6)^2}=\frac{370.31904}{40.6944}=9.1ft[/tex]
the height of the cone is 9.1 feet
