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roopakvaidya
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Posted -
12/08/2005
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01:08
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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
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Posted - 28/08/2005 : 09:33
???????????????????????
Jim Howarth
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The Wild Bunch
New Member
17 Posts
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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.
Start the day with a smile and get it over with.
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roopakvaidya
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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. |
Cathy
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Posted - 30/08/2005 : 07:56
Is there more to this?
All thru the fields and meadows gay .... Enjoy Take Care...Cathy |
The Wild Bunch
New Member
17 Posts
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Posted - 30/08/2005 : 13:06
roopakvaidyaIf 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.
Start the day with a smile and get it over with. |
The Wild Bunch
New Member
17 Posts
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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.
Start the day with a smile and get it over with. |
roopakvaidya
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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. |
Ringo
Site Administrator
3793 Posts
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Posted - 04/09/2005 : 01:55
A purple banana?
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roopakvaidya
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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!" |
roopakvaidya
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Posted - 19/09/2005 : 00:10
Calling The Wild Bunch and all members of the Letcliffe Parliament...
Don't give up so easily...
Roopak |
catgate
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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
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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).
- Marcia Allass
(http://www.sequentialtart.com) |
Callunna
Revolving Grey Blob
3044 Posts
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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
=================== www.sheldrickrose.co.ukwww.bernulf.co.ukwww.bernulfsplace.co.uk |
Another
Traycle Mine Overseer
6250 Posts
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Posted - 21/09/2005 : 15:37
Well summed up Cally. Nolic
" I'm a self made man who worships his creator" |
Ringo
Site Administrator
3793 Posts
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Posted - 21/09/2005 : 22:23
I still stand by my 1st answer of a purple banana
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