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11 October 2010

PizzaQ! Fnd my calculus mistake / hmmm okay i think i fixed it ...

 Click image for larger.

Okay I think I fixed the subtle little mistake.

By the way, I think this is just Wonderful!

Grrrrr there's a minor little itty-bitty mistake here somewhere, but it doesn't affect the final result. But grrrrrrr anyway, I hate it when I'm not perfect.

Here's how to get Ἀρχιμήδης's ratio 

volume of inscribed sphere
---------------------------------
volume of right circular cylinder 

-- one tennis ball that just fits in a cylindrical can -- with elementary integral calculus (which Ἀρχιμήδης probably knew, even though it wouldn't officially be discovered for another 1920 years).

Find and fix my itty-bitty little mistake and ... uhhh ... I'll give you 3 slices of square no-tomato-sauce pizza.

5 comments:

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Stalin Princes said...

Hi,
I would like to thank you for the hard work you have made for this blog. I truly like this..
I have added your blog to My Blog---Friends Blog area
http://auto-transports.blogspot.com/. So would
You put my blog as well; our visitors can get virtual and useful information from your site.
I will hope you will add my blog.
Thanks

PatFromCH said...

I BLLODY HATE THOSE BLOODY SPAM BOTS GRRR

That bloke also alledgedly invented the catapult and used mirrors to distract enemies. Pretty clever those ancient greeks

Was it Newton or Leibbnitz who came up with these integrals ? Both of them brilliant loonies, you don't get their likes these daysI think I red somewhere that Laplace (whom I only know as a scientist) or Eulaer (of whom a comic book exists in kCH) may have had their hand in there. Oh, if i only had the time.....

RamanuJohn said...

Hi Bob:
The substitution is incorrect in the sphere part. You can't use x^2 + y^2 = 1, because we don't know if it's 1! Instead, use x^2 + y^2 = r^2, so y^2 = r^2 - x^2, and push it through the remaining steps.

Vleeptron Dude said...

Oh No! My Brain Is Dying! I knew my body was going down the toilet, but now I see it's my Brain too!

Oh well, that's why I do these stoopid calculus problems, to keep my brain sharp. I'll have to find a harder one. Or maybe you can suggest a harder one. If I can't do it, I'll have myself institutionalized.

Grrrrrrrr.