Step-by-step explanation:
Total volume of cylinder = [tex]29.452 in^{3}[/tex]
Diameter of cookie = [tex]2.5 in[/tex]. Exactly 12 cookies fit into the cylindrical cylinder. Let the thickness of cookie be [tex]t[/tex].
[tex]\textrm{Volume of cylinder = }12\textrm{ x Volume of cookie}[/tex]
[tex]29.452=12(\pi (\frac{2.5}{2} )^{2}t )[/tex]
[tex]t=0.5\textrm{ in}[/tex]
∴ Thickness of each cookie is 0.5 in.
The thickness of each cookie = 0.5 inch
let us say the thickness of the cookie is t
the radius of the cookie will be 2.5/2 = 1.25 inch
the volume of a cylinder is [tex]\pi r^{2} h[/tex]
where r is the radius.
h is the height.
the total volume of the cylinder = sum of the volume of 12 cookies.
[tex]12*\pi *r^{2} * t = 29.542[/tex]
[tex]12*\pi *1.25^{2} *t= 29.542\\t = 0.5 inch[/tex]
therefore, the thickness of each cookie = 0.5 inch
to get more about the volume of the cylinder refer to the link,
https://brainly.com/question/9554871
