Answer:
The thickness of each cookie = 0.75 in
Step-by-step explanation:
Given:
A dozen cookie each with 5 in diameter
Volume of the cylindrical container = 176.715 in³
To find:
the thickness (height) of each cookie
To determine the thickness of each of the cookie, we will apply the volume of cylinder:
Since there are 12 cookies (a dozen), the volume of the cylinder will be the sum of the volume of each of the 12 cookies
![\begin{gathered} Volume\text{ of the cylindrical container = 12}*\text{\lparen\pi r}^2h) \\ let\text{ \pi= 3.14} \\ diamete\text{r = 2\lparen radius\rparen} \\ radius\text{ = diameter/2 = 5/2} \\ radius\text{ = 2.5 in} \\ \\ 176.715\text{ = 12}*\text{3.14 }*\text{ 2.5}^2\text{ }*\text{ h} \end{gathered}]()
The thickness of each cookie = 0.75 in