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A stack of one dozen cookies of diameter 5 in,.....

A stack of one dozen cookies of diameter 5 in,.....-example-1

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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:


Volume\text{ cylinder = }12\text{ x volume }of\text{ cookie}

that is:


176.715\text{ = }12\text{ (}\pi\text{( }(5)/(2))^2t)

this is equivalent to:


75\pi t\text{ = }176.715

solving for t, we get:


t\text{ = }(176.715)/(75\pi)\text{ = 0.75}

so that, the correct answer is:


t\text{ = 0.75}

A stack of one dozen cookies of diameter 5 in,.....-example-1
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