Question 179220
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The 10" pizza costs $1.13 per person (*[tex \Large \frac {4.50}{4}]), the 13" pizza costs $1.25 per person (*[tex \Large \frac {7.50}{6}]), so to minimize your cost, you serve the smaller pizzas.  Of course, any of your guests who are mathematicians will recognize you as a cheapskate because the portions of the smaller pizza are about 2.5 square inches smaller than the portions of the larger pizza.


*[tex \Large A_{ps} = \frac {\pi r^2}{4} = \frac {\pi 5^2}{4} \approx 19.6 \text{ in}^2]

*[tex \Large A_{pl} = \frac {\pi r^2}{6} = \frac {\pi 6.5^2}{6} \approx 22.1 \text{ in}^2]


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As long as we are talking about pizzas, I might as well share the Great Pizza Theorem.


We all know that the volume of a right circular cylinder is given by *[tex \Large V = \pi r^2 h] where <i>r</i> is the radius of the base and <i>h</i> is the height.


Hence, the volume of a pizza with radius <i>z</i> and thickness <i>a</i> would be *[tex \Large V = \pi z^2 a].


But *[tex \Large \pi z^2 a = \text {pi*z*z*a].  Therefore, the volume of pizza is pizza!


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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