AyraH106841 AyraH106841
  • 25-10-2022
  • Mathematics
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A stack of one dozen cookies of diameter 5 in,.....

A stack of one dozen cookies of diameter 5 in class=

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RickelleC634090 RickelleC634090
  • 25-10-2022

Question:

Solution:

If exactly 12 cookies fit into the cylindrical cylinder. Let the thickness of the cookie be t, then we have the following equation:

[tex]Volume\text{ cylinder = }12\text{ x volume }of\text{ cookie}[/tex]

that is:

[tex]176.715\text{ = }12\text{ (}\pi\text{( }\frac{5}{2})^2t)[/tex]

this is equivalent to:

[tex]75\pi t\text{ = }176.715[/tex]

solving for t, we get:

[tex]t\text{ = }\frac{176.715}{75\pi}\text{ = 0.75}[/tex]

so that, the correct answer is:

[tex]t\text{ = 0.75}[/tex]

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