Dear Mathematicians.. a question for you.

husband oh husband. will u hear?
i have a question for your ear
Oh yes he said
please ask my dear
there could be nothing to fear

Oh husband well
i took a ball
and place it under a waterfall

what ever would you do that for
to wash it clean and clear the scour?

no not at all
but alas my love
to see it wrap the ball
like a glove

oh dear what sort of riddle is this
i have no time for sillyness

please listen i will tell you more
there's something else i did before
"go on", he said but let me be clear
please get to the point very soon my dear

Husband my husband please lend me your ear
I placed the ball in a glass crystal clear
i filled it with water right up to the brim
and still it fit perfectly in that water within

My question very earnest i swear
but husband dear
please tell me how to calculate the volume of a sphere?

how about the amount of water it would displace from a full glass

reply to post by stuthealien


please show calculations

4/3 pi r cubed

ahh yes a noted answer
and here's what we do
circumference 1 over circumference 2
but is it true?

Circumference 1 is in thickness of measure
a trick so clever
it seems more like steps
than the smoothest thing ever

for one more circumference measured in miles
leaves us a step 1 mile tall and wide
it would seem to be missing pieces of pie
but why?

Roses are red, some orchids are black
There's two minutes of my life
I'll never get back

Said the husband to his wife
We really must find you a life
Eeny meeny miney mo
It matters not which way you go

Merely take the ruler I gave to you
Put it across the ball in view
Take the largest of the measures
And I’ll let you in on mathematical treasures

Divide that measure by two you see
Then multiply it by itself in times three
That is cubed my dearest one
Now we’re ready for even more fun

Divide by three, multiply by four
The answer is close, just at the door
There is another number you see
but for something so simple, just use three

If you were interested in more detail my dear
Don’t worry you have nothing to fear
A ball is small, not very high
But if it was, you would use pi

reply to post by PurpleChiten


This may be safe in measures small
but not in measures large atall

please re-examine your filthy ball
for it is not a ball atall
but 1 mile thick slabs placed untop eachother
with 1 mile in difference between each diameter

Originally posted by PurpleChiten

But if it was, you would use pi

ahh yes.. the wondrous pi. who's definite point is never in sight.

reply to post by 0mage

but 1 mile thick slabs placed untop eachother

What kind of sphere has slabs?

with 1 mile in difference between each diameter

afaik a sphere only has one diameter

I get the feeling your trying to slow walk us towards something

Originally posted by 0mage
reply to post by PurpleChiten

 

This may be safe in measures small
but not in measures large atall

please re-examine your filthy ball
for it is not a ball atall
but 1 mile thick slabs placed untop eachother
with 1 mile in difference between each diameter

edit on 19-5-2012 by 0mage because: (no reason given)

If she can handle a ball that big, it doesn't matter if she can calculate volume or not, she's going to get anything she wants!

Here ya go sweetness, this should keep you busy

www.khanacademy.org...


although it's area, not volume...
By trying to symbolize the circle as a series of lines, you are bastardizing the circle's own identity and creating a very, very crumpled up little line that only approaches a circle but never really becomes one

Originally posted by Kr0nZ

afaik a sphere only has one diameter

I get the feeling your trying to slow walk us towards something

indeed it does not
'x' axis 'y' axis
see what youve got?


the equation thus used for calculating the the volume of a sphere is actually an equation to describe circular disks stacked untop or side by side of eachother with increasing and then decreasing sizes in diameter. If you look closesly you will see that it means to start at 0 and then increment by one measurement of the radius until it reaches half or centre of the sphere and the decreases back to 0 to complete the sphere. u will require visualizing. some may draw it out for help.

Thus if radius is measured in miles that means the space between each new disc is 1 mile. since that is the smallest unit of measure in the calculation for a very large sphere. like earth! this means that for one whole mile along that axis the sphere's circumference does not increment.

In summary, the equation creates 1 mile high circular discs at each increment along the radius 1 'r' at a time (1 mile at a time). and basically does that twice to create the volume of the both half-spheres added together. Pieces of the sphere are missing going all around it.

en.wikipedia.org...
" to sum the volumes of an infinite number of circular disks of infinitesimally small thickness stacked centered .."

Not worth typing out, here ya go:

answers.yahoo.com...

reply to post by PurpleChiten


u are ignoring a very simple thing.
but what is the 'r' you speak of measured in

you must ponder my words
until it is clear
ponder on the equation of the sphere

how it was derived
and what it describes
Then draw out the shape it will bare

a flaw very critical will appear
when miles is the unit of measure

Originally posted by 0mage
reply to post by PurpleChiten

 

u are ignoring a very simple thing.
but what is the 'r' you speak of measured in

you must ponder my words
until it is clear
ponder on the equation of the sphere

how it was derived
and what it describes
Then draw out the shape it will bare

a flaw very critical will appear
when miles is the unit of measure

When you look at the formula as derived through calculus instead of the ancient Greek method, it shows that it is accurate and therefore precise.

reply to post by 0mage


Seriously, what are you getting at?

with 1 mile in difference between each diameter

So we are not talking about a sphere. Trifling and pointless?

meh, maybe he's shooting for an oblate spheroid and going to bring in earth type stuff or something

Originally posted by PurpleChiten


When you look at the formula as derived through calculus instead of the ancient Greek method, it shows that it is accurate and therefore precise.

smh
"Simplicity is the key to truth"

The equation can be broken down as follows

4/3 π r³
4/3 * π * r * r * r
4/3 π r² * r
2 *2/3 * π * r² * r
All of the above are accurate representations of the same equation and following is a breakdown in their usage. you must bare in mind all equations relating to circular objects i.e - area of a circle, volume of a cylinder and volume of a sphere

remember that (π * r²) = Area of a circle
so now we have:
2 * 2/3 * A * r

reply to post by Kr0nZ


precisely my point. what kind of sphere has slabs?

and what kind of equation produces a sphere made out of slabs?