Answer:
The volume of the popcorn container is
![V=84.78\ in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i224ei7nnvpyvm4pgzxqqqyhq8q2c1idm5.png)
Explanation:
we know that
The volume of the cone is equal to
![V=(1)/(3)\pi r^(2)h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/25zf7q1ro45wq3eqm5bebwne6mqikz52qb.png)
where
r is the radius of the base of cone
h is the height of the cone
In this problem we have
----> the radius is half the diameter
![h=9\ in](https://img.qammunity.org/2020/formulas/mathematics/high-school/y1jx60r3jm4mskd99jy696wgjoc1tmzmzd.png)
![\pi =3.14](https://img.qammunity.org/2020/formulas/mathematics/high-school/595myhvi9x0vjp0b1ku7bsoelmk1x8jihg.png)
substitute the values
![V=(1)/(3)(3.14)(3)^(2)(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k3hbmrvdjjr6irdx0l960sgq84dch6ukk5.png)
![V=84.78\ in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i224ei7nnvpyvm4pgzxqqqyhq8q2c1idm5.png)