Answer:
The volume of the popcorn container is [tex]V=84.78\ in^3[/tex]
Step-by-step explanation:
we know that
The volume of the cone is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
where
r is the radius of the base of cone
h is the height of the cone
In this problem we have
[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter
[tex]h=9\ in[/tex]
[tex]\pi =3.14[/tex]
substitute the values
[tex]V=\frac{1}{3}(3.14)(3)^{2}(9)[/tex]
[tex]V=84.78\ in^3[/tex]
