Question

The cone has a height of 9 in and a diameter of 6 in. Find the volume of the popcorn container. Use 3.14 for π

Answer 1

Answer:

The volume of the popcorn container is $V=84.78\ in^3$

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

where

r is the radius of the base of cone

h is the height of the cone

In this problem we have

$r=6/2=3\ in$ ----> the radius is half the diameter

$h=9\ in$

$\pi =3.14$

substitute the values

$V=\frac{1}{3}(3.14)(3)^{2}(9)$

$V=84.78\ in^3$