A baker is working a batch of dough. He shapes it into a cylinder of height a and radius z.

What will the baker make from this volume of dough?


This question has an open bounty worth +100 reputation from user477343 ending in 6 days.

One or more of the answers is exemplary and worthy of an additional bounty.

This bounty will be awarded to @JeffZeitlin's answer; this is the second time I know that this user has been ninja'd, which is a little unlucky. So I have turned the tables a bit. Congratulations! :)

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    $\begingroup$ Title must be "Hap'pi day everyone" :) $\endgroup$ – val Mar 14 at 20:29

He will make


The volume is

Height times pi times the square of the radius, i.e. $pi * z * z * a$.

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    $\begingroup$ Wow that was quick! Well done. I will award the tick at the end of the day. $\endgroup$ – Stewart Becker Mar 14 at 12:05
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    $\begingroup$ either that or pizaz! $\endgroup$ – user334732 Mar 15 at 15:31

Old joke - he's making pizza: pi * z * z * a

  • $\begingroup$ Very quick! The old ones are the best ones! I will award the tick at the end of the day. $\endgroup$ – Stewart Becker Mar 14 at 12:06
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    $\begingroup$ Got ninja'd again?! >:( $\endgroup$ – user477343 Apr 16 at 21:36
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    $\begingroup$ @user477343 - Meh. Can't help it if there are people who can type faster than me... :) $\endgroup$ – Jeff Zeitlin Apr 17 at 11:57
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    $\begingroup$ Well, I don't think it's fair: it's about how fast you get the answer, not how fast you can type the answer... but since it's online, what can you do? Hence, it's unfair. So you know what I do for those who get ninja'd? ;) $\endgroup$ – user477343 Apr 17 at 14:16

While I agree with Jeff's answer, it also depends on the actual height and radius used.

If a > 1" (perhaps even 1/2" because dough rises with yeast assuming a typical pizza batter), the pizza will be way too thick to resemble pizza. Typically crusts (before baking) are way less than a < 1/2", though I've never tried a thick-pan crust.
Also if z < 3", the pizza will be far too small to be a realistic pizza. (Mini-pizzas at z = 2"?)

But given realistic values of a and z, I certainly agree with Jeff's answer.

(I'd add a comment instead to Jeff's answer, but reputation '50' is required for that.) :(

Happy pi day.

  • $\begingroup$ Even with a big tall cylinder of dough, he'll still make pizza because that will be the volume he'll make. $\endgroup$ – user334732 Mar 15 at 15:33

Volume $V$ of a cylinder of given height $h$ and radius $r$ is given by $V = \pi r^2 h$.


the volume of said object is $\pi z^2 a$. But since today is pi day, I assume the correct answer is pizza.



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