Question

A movie theater uses a conical container to serve popcorn. 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

THE ANSWER WOULD BE 84.78 CUBIC INCHES

Answer 2

Answer:
`84.78\ in^3`

Explanation:

The formula for calculate the volume of a cone is:

`V=(1)/(3)\pi r^2h`

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:

`d=6\ in\\\\h=9\ in`

Since the radius is half the diameter:

`r=(6\ in)/(2)\\\\r=3\ in`

Therefore, substituting those values into the formula and using 3.14 for π, you get that the volume of the popcorn container is:

`V=(1)/(3)(3.14)(3\ in)^2(9\ in)\\\\V=84.78\ in^3`