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lozanna
15 hours ago
6

A stack of one dozen cookies of diameter 2.5 in. exactly fits in a cylindrical container of volume 29.452 in3. Which is the thic

kness of each cookie?
Mathematics
1 answer:
Svet_ta [4.3K]15 hours ago
8 0

Each cookie has a thickness of 0.5 inches

Step-by-step explanation:

   The total volume of the cylinder is given by 29.452 in^{3}

Diameter of each cookie is 2.5 in. The cylinder can hold exactly 12 cookies stacked inside. The thickness for each cookie equals t.

\textrm{Volume of cylinder = }12\textrm{ x Volume of cookie}

29.452=12(\pi (\frac{2.5}{2} )^{2}t )

t=0.5\textrm{ in}

Thus, the thickness of every cookie is established to be 0.5 inches.

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