Answer: [tex]84.78\ in^3[/tex]
Step-by-step explanation:
The formula for calculate the volume of a cone is:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of th cone.
Based on the data given in the exercise, you can identify that:
[tex]d=6\ in\\\\h=9\ in[/tex]
Since the radius is half the diameter:
[tex]r=\frac{6\ in}{2}\\\\r=3\ in[/tex]
Therefore, substituting those values into the formula and using 3.14 for π, you get that the volume of the popcorn container is:
[tex]V=\frac{1}{3}(3.14)(3\ in)^2(9\ in)\\\\V=84.78\ in^3[/tex]
