Answer: Approximately 25.1 m^3
Step-by-step explanation:
The volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]. We know the height, but we don't know the radius. Fortunately, we are given the circumference of the base circle.
[tex]C=2\pi r[/tex]
[tex]9=2\pi r[/tex]
[tex]r=\frac{9}{2\pi}[/tex]
Now that we have the r, we can plug it into the volume equation.
[tex]V=\pi r^2\frac{h}{3}[/tex]
[tex]V=\pi (\frac{9}{2\pi } )^2 (\frac{11.7}{3} )[/tex]
After you plug this into the calculator, you get approximately 25.1 m^3.
