Answer: $0.53
Step-by-step explanation:
First, we will find the volume of the popcorn container.
[tex]V=\pi r^2h[/tex]
[tex]V=\pi (9 \text{ inches}/2)^2(9 \text{ inches})[/tex]
[tex]V=\pi (4.5 \text{ inches})^2(9 \text{ inches})[/tex]
[tex]V=\pi (20.25 \text{ inches}^2)(9 \text{ inches})[/tex]
[tex]V= 182.25\pi \text{ inches}^3[/tex]
[tex]V= 572.55526 \text{ inches}^3[/tex]
Next, it is given that the popcorn has a density of 34 ounces per cubic foot. Keep in mind that our measurement above is in cubic inches, so we must convert it first. For this, we will use division. Then, we will use multiplication to find the total ounces.
[tex]V= 572.55526 \text{ inches}^3/12\text{ inches per foot} ^3=0.3313398495 \text{ inches}^3[/tex]
[tex]0.3313398495 \text{ inches}^3*34\text{ ounces per cubic foot}=11.26555488\text{ ounces}[/tex]
Lastly, we will find the price per ounce. Remember that these 11 ounces cost $6.
[tex]\$6/11.26555488\text{ ounces}=\$0.5325969\approx\$0.53[/tex]
