Answer:
9.6 ft
Step-by-step explanation:
The cone is shown in the attachment
The volume of a cone is calculated using: [tex]V=\frac{\pi r^2h}{3}[/tex]
We have that the volume is 83.7 and from the diagram , the height is [tex]3.5 ft[/tex].
We substitute to obtain:
[tex]83.7=\frac{3.14*r^2*3.5}{3}[/tex]
This implies that:
[tex]r^2=\frac{83.7*3}{3.5*3.14} \\r^2=22.848\\r=\sqrt{22.848}\\ r=4.8[/tex]
The diameter is two times the radius.
Therefore the diameter is [tex]2(4.8)=9.6ft[/tex]
