Respuesta :

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!