Question

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 thickness of each cooke?

Answer 1

The volume of a cylinder is given by:

`\begin{gathered} V=\pi\cdot r^2\cdot h \\ V=29.452in^3_{} \\ r=(d)/(2)=(2.5)/(2)=1.25 \end{gathered}`

solve for h:

`\begin{gathered} 29.452=\pi\cdot(1.25)^2\cdot h \\ h=(29.452)/(\pi(1.25)^2) \\ h=5.999912171 \end{gathered}`

divide the height by 12:

`(h)/(12)=0.499992681in`

The thickness of each cookie is 0.499992681in or approximately 0.5in