Answer:
The thickness of each cookie is 9.00 inches.
Step-by-step explanation:
The volume of the cookies is given by the volume of a cylinder:
[tex] V = \pi r^{2}h [/tex] (1)
Where:
V: is the volume = 176.715 in³
r: is the radius
h: is the height = thickness of the cookies
The radius can be calculated by dividing the diameter by 2:
[tex] r = \frac{d}{2} = \frac{5}{2} = 2.5 in [/tex]
Now, by solving equation (1) for "h" we have:
[tex] h = \frac{V}{\pi r^{2}} = \frac{176.715}{\pi (2.5)^{2}} = 9.00 in [/tex]
Therefore, the thickness of each cookie is 9.00 inches.
I hope it helps you!