Re: Archimedes- Inclined cyl in cylinder. Whats smallest Or pot (3mm

don.lotto@[EMAIL PROTECTED]
 wrote:

> On May 7, 7:05 pm, Ed Murphy <emurph...@[EMAIL PROTECTED]
> wrote:
>> don.lo...@[EMAIL PROTECTED]
 wrote:
>>> Archimedes- Inclined cyl incylinder. Whats smallest Or pot (3mm
>>> thickness) to cook corncobfor one?  18cm x 5cm Diam?
> 
> pi/4 x (18^2+5^2)*5" suggests 1/4 of a cylindrical pot with diameter
> sqrt(18^2+5^2) cm (just long enough to hold the corn cob's diagonal
> in
> the xy plane) and height 5 cm.  Why 1/4, though?
> 
> PI L D^2/4.
> volume of cylinder.  as you possibly realise!! (hAVE i MADE A
> MISTAKE?)

Oh, you're right, halving the diameter to get the radius.  Still,
assuming that decoding your meaning is not intended to be part of the
puzzle, this would have more clearly expressed as
  pi*h*r^2 = pi * 5 * [sqrt(18^2+5^2)/2]^2
and then progressing to
           = pi * 5 * (18^2+5^2)/4

The next question:

> what is largest cylindrical pot corn will just squeeze into inclined?

still suffers from the ambiguity pointed out by Mike:

> And by smallest pot - does he mean smallest volume or smallest
> stove-top surface-area or smallest weight weight?

And the next question:

> why is it called cob /  ear of corn?

http://dictionary.reference.com/browse/cob
http://dictionary.reference.com/browse/ear