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Sagot :
Answer:
The thickness of each cookie = 0.75 in
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:
[tex]Volume\text{ of a cylinder = \pi r}^2h[/tex]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
[tex]\begin{gathered} Volume\text{ of the cylindrical container = 12}\times\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}\times\text{3.14 }\times\text{ 2.5}^2\text{ }\times\text{ h} \end{gathered}[/tex][tex]\begin{gathered} 176.715\text{ = 235.5h} \\ h\text{ = }\frac{176.715}{235.5} \\ h\text{ = 0.75 in} \end{gathered}[/tex]The thickness of each cookie = 0.75 in
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