We have that the funnel is like a cone, so we will use the formula to calculate the volume of a cone in order to find the volume of the funnel
[tex]V=\frac{1}{3}\pi r^2h[/tex]where r is the radius and h is the height
In our case
r=3 inches
h=6 inches
we substitute the values
[tex]V=\frac{1}{3}\pi(3)^2(6)[/tex][tex]V=\frac{1}{3}\pi(9)(6)[/tex][tex]V=18\pi=56.55in^3[/tex]