Question

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

Answer 1

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}`