Answer:
The amount of popcorn needed to fill the paper cone is [tex]V=1,005\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cone is equal to
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
In this problem we have
[tex]r=8\ cm[/tex]
[tex]h=15\ cm[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]V=\frac{1}{3}(3.14)(8)^{2}(15)[/tex]
[tex]V=1,005\ cm^{3}[/tex]