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roopakvaidya
Regular Member


233 Posts
Posted -  12/08/2005  :  01:08

This is from the Scientific American:

A perfect cylinder six inches in length is bored through and through a perfect sphere. What is the volume of the remaining part of the sphere?




Roopak
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wrinklie
New Member


23 Posts
Posted - 28/08/2005 : 09:33
???????????????????????


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The Wild Bunch
New Member


17 Posts
Posted - 29/08/2005 : 12:25
Ok the sphere is obviously 6" in diameter, so the answer must be,the volume of a 6"diameter sphere whatever that may be. Why? Because if you think about it, a sphere is round ok,so to have a perfect cylinder bored from a perfect sphere which is not a true flat surface it would probably have to be unmeasurable. Well that is my thinking but i will consult the Letcliffe Park Parliament this afternoon.




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roopakvaidya
Regular Member


233 Posts
Posted - 30/08/2005 : 00:39
If the sphere were larger than six inches, the "caps"on both ends would also be bored away, leaving a perfect cylinder.Go to Top of Page
Cathy
Senior Member


4249 Posts
Posted - 30/08/2005 : 07:56
Is there more to this?  


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The Wild Bunch
New Member


17 Posts
Posted - 30/08/2005 : 13:06
roopakvaidya

If you dont bore through the centre of the sphere then there is know way of knowing the size of the sphere from the information supplied. If that being the case then it would appear that the answer is the same whatever the size of the sphere ie; Earth - Golfball etc. Also to bore a cylinder "through" the sphere you must start from the outside and end up on the outside which would not give you a "perfect" cylinder due to the curvature of the sphere. ie: the top and the bottom of the cylinder would be curved as it is still part of the sphere.

The Letcliffe Parliament are at this time unable to give you the answer but are working on it.




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The Wild Bunch
New Member


17 Posts
Posted - 30/08/2005 : 19:05
Appoliges After thinking about this i have to admit i am wrong about the perfect cylinder you can have a perfect cylinder because obviously the curvature is ground away.


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roopakvaidya
Regular Member


233 Posts
Posted - 04/09/2005 : 01:40
quote:
Cathy wrote:
Is there more to this?  


No, it's a straightforward question... In case it doesn't show on your browser (it doesn't on mine), here it is again:

A perfect cylinder six inches in length is bored through and through a perfect sphere. What is the volume of the remaining part of the sphere?

Feel free to refer to high school text-books for formulae. However, the conceptualisation of the problem and it's answer is more important than the actual mathematical working.

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Ringo
Site Administrator


3793 Posts
Posted - 04/09/2005 : 01:55
A purple banana?


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roopakvaidya
Regular Member


233 Posts
Posted - 04/09/2005 : 02:02
quote:
Ringo wrote:
A purple banana?

Close enough, but the correct answer to the question "What is purple, eats rocks and climbs mountains?" is "A purple rock-eating mountain-climber!"Go to Top of Page
roopakvaidya
Regular Member


233 Posts
Posted - 19/09/2005 : 00:10

Calling The Wild Bunch and all members of the Letcliffe Parliament...

Don't give up so easily...




Roopak Go to Top of Page
catgate
Senior Member


1764 Posts
Posted - 21/09/2005 : 14:05
Quote
" ..from the Scientific American."   
So, someone has finally found one!!  I'll bet he took some finding.



Every silver lining has a cloud.


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Marcia
Senior Member


1096 Posts
Posted - 21/09/2005 : 14:44

The sphere clearly has a diameter of 6ins and a radius of 3ins, so the colume can be calculated from that (although I can't remember the formula).

Theoretically one could work out the volume of the cylinder as well, even given it having rounded ends, though I'm sure that's a terribly horrendous formula.

One minus the other could produce an anwer.  However, to caluclate the volume of the cylinder one would need to know its radius, and we don't.

To be a git,  I could say that if we don't know the radius we can safely assume it is zero and therefore the volume of the sphere will be the same before and after boring whathever that is (someone else will probably know the formula - all I remember is that it involved Pi).




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Callunna
Revolving Grey Blob


3044 Posts
Posted - 21/09/2005 : 15:36
I have read all the above postings.

This is what it sounds like in my head:

Blah blah cylinder liuhfn sphere eriuprewq blah 3487fn wjdfhj diameter @@@ nq;oiUOPIVhj jfhjj formula blah de blah. Ujn wqnjd jvf deol volume xx krh **? cylinder bored through blah blah de blah.

I never got to grips with those school questions about various numbers of men digging differing lengths of ditches during several time spans. However I'm grateful that there are people who CAN work these things out, otherwise society wouldn't have any buildings, railways, spaceships or Betterware Miracle Cheese Graters. So thanks, guys - I'm sure I can leave this poser to you all to work out. I'm off for a bit of cheese and onion Pi. Sorry, pie.

Edited by - Callunna on 21 September 2005 15:37:32


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Another
Traycle Mine Overseer


6250 Posts
Posted - 21/09/2005 : 15:37
Well summed up Cally. Nolic


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Ringo
Site Administrator


3793 Posts
Posted - 21/09/2005 : 22:23
I still stand by my 1st answer of a purple banana


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