ONE MILLION DIGITS OF PI

Keith P · Senior Member

Capacity of Downpipe??

brickies · Guru

Diameter squared x .8 by length multiplied x 1000 will give litres . So 100mm pipe x 2.2 metres . (.1x .1 x .8 x 2.2 x1000 ) will give litres , equals 17.6 litres , So length of 100 ml pipe 2.2 metres long will hold 17.6 litres .

KJB · Guru

Probably more importantly, about an extra 18 kgs.

KB

rockylizard · Guru

KJB wrote:
Probably more importantly, about an extra 18 kgs.
KB

Gday...

But only after 18Kgs (17.6ltrs) is turned into grey water from the main water tank which will now be 18Kg (17.6Ltr) lighter negating any increase in overall weight ... just a transfer of weight.

cheers - John

toglhot · Senior Member

Bit of a bugger to empty though, since most seem to think that gray water is toxic. I water the plants in my garden with it at home.

Keith P · Senior Member

Hmmm...that aint a lot hey. The idea was only fact finding really....as the genuine Jayco is approx. 60 litres....and not very expensive if fitted at time of building.

So I guess we will be going that way now..... but I had an idea that it may have been cheaper to retrofit it later...but not feasible unless I used 6 inch stormwater pipe instead....and there is no room for that under the van !!

Thanks for everyone for their input and maths here.

Cheers Keith

brickies · Guru

A 150 ml pipe would hold 39.6 litres , 2/100ml pipes would hold 35.2 litres .

Cupie · Guru

On mine I can run a single length of 100ml right down most of the length of the van between the slotted frame & the axles giving me a 47l capacity (using the pi x R squared x length x 1000 formula .. thanks for that, takes me back to my high school days some 60 years ago). Might just use some shorter lengths closer to the axle group.

Got all the bits from my plumber son's spare parts bin.

The 100ml has a thicker wall than the 90ml storm water stuff so should be more suitable.

Might get round to it one of these days.

ps We too have been using our grey water from the washing machine to water the Lime tree at home for>10 years. We do use the NP powder though.

dorian · Guru

I use Google's calculator.

http://www.google.com.au/search?q=pi+x+((150+mm+/+2)+squared)+x+2.2+m+in+litres

pi x (((150 mm) / 2) squared) x (2.2 m) = 38.8772091 litres

brickies · Guru

Yes that is right pi is .785 but we use .8 has it is easier to to quick maths , I have been waiting for someone to nick pick on this one

dorian · Guru

No, pi = 3.14, not .785.

http://www.google.com.au/search?q=pi

blissonwheels · Senior Member

Gooday,

I fitted 2 lengths of 6 inch PVC stormwater pipe under our caravan, linked together and capped at both ends, one is slightly longer by about 3 inches than the other due to other fittings, they fit between the chassis rails at the rear. My calculations were I can hold 52 litres. I have a ball valve so I can divert from ground to grey water tanks, included a breather, and have a Camlok fitting to drain when necessary.

Works well for us, got one pice of pipe for nothing, the other I paid $5-00 for, the most expensive parts were the end caps at $19-00 each

Cupie · Guru

dorian wrote:
No, pi = 3.14, not .785.
http://www.google.com.au/search?q=pi

Yes and the formulae for finding the volume of a cylinder is

pi x Radius squared x length

so there you go ... I just hope that you took the inside measurements.

and if you really want to nit prick, pi is just a bit more that 3.14 but we all know that don't we

eg.

ONE MILLION DIGITS OF PI

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939780541934144737744184263129860809988868741326047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etc. ad infinitum ha ha ... just having a little joke .... edit .. Have you counted the digits? ...

-- Edited by Cupie on Monday 11th of September 2017 10:52:55 AM

brickies · Guru

Dorian if you look at my formula it's diameter squared, Not Radius squared , I used theses formulas when in the fire service using diameter pi is .7854 , But on the fire ground always used .8 , And when you were pumping 1000 lts per minute that's close enough . We didn't have mister google in those day had to use our brain .

Cupie · Guru

brickies wrote:
Dorian if you look at my formula it's diameter squared, Not Radius squared , I used theses formulas when in the fire service using diameter pi is .7854 , But on the fire ground always used .8 , And when you were pumping 1000 lts per minute that's close enough . We didn't have mister google in those day had to use our brain .

Thanks to Mr Google ... pi is commonly defined as the ratio of a circle's circumference C to its diameter d

\pi ={\frac {C}{d}}

-- Edited by Cupie on Monday 11th of September 2017 01:45:42 PM

rockylizard · Guru

Gday...

Smiley 01.png

GEEZ you lot ... this is the only pie I am interested in ....

Pie 01a.jpg

smiley Sorry.gif

Cheers - John

brickies · Guru

Square one are the best value

Dougwe · Chief one feather

rockylizard wrote:
Gday...
GEEZ you lot ... this is the only pie I am interested in ....

Cheers - John

Nearly Rocky biggrin

dorian · Guru

I guess I shouldn't be surprised at the response in this thread. It goes to the crux of the reason that many employers believe old folks to be unemployable, namely that they cannot accept that there may be a different, possibly better, way to tackle a task that they have been doing for decades.

Notice that I didn't say that my approach was better, or that any of the proposed solutions were incorrect or inferior. I merely offered an alternative method.

As for pi, I don't need to know that it is a transcendental number that has no finite representation in the decimal number system. I just need to know that pi = "pi" and let Google's calculator handle the rest.

If anyone had bothered to follow the link I provided, they would have seen the obvious utility of this tool. I also provided the sample output, verbatim, to illustrate the importance of parentheses, and the precision of the calculator.

As for computational aids, they can be useful, especially when one doesn't understand the underlying concepts and is totally dependent on rote learning. However, I prefer not to clutter my brain with things I don't need. Instead, all I need to remember is that volume equals area times length. This applies equally to a cylindrical pipe as it does to a length of timber or a stick of licorice.

So ...

volume = cross-sectional area x length 
= area of circle x length 
= pi x radius squared x length 
= pi x (diameter / 2) squared x length 
= (pi / 4) x diameter squared x length

The last line illustrates the reason for the "0.8" in the rule of thumb calculation.

Furthermore, I can mix up the units of length and volume in any way I like. I don't need to remember that the diameter is in millimetres and the length in metres, nor do I need to remember to apply a conversion factor of 1000. Google's calculator does all that.

Some care needs to be taken to ensure that Google evaluates the expression in the correct order.

The following examples illustrate this point:

http://www.google.com.au/search?q=pi+x+50mm+squared+x+2.2m+in+litres

pi x (50 (mm squared)) x (2.2 m) = 0.345575192 litres
http://www.google.com.au/search?q=pi+x+(50mm)+squared+x+2.2m+in+litres

pi x ((50 mm) squared) x (2.2 m) = 17.2787596 litres

Cupie · Guru

dorian wrote:
I guess I shouldn't be surprised at the response in this thread. It goes to the crux of the reason that many employers believe old folks to be unemployable, namely that they cannot accept that there may be a different, possibly better, way to tackle a task that they have been doing for decades.

Notice that I didn't say that my approach was better, or that any of the proposed solutions were incorrect or inferior. I merely offered an alternative method.

As for pi, I don't need to know that it is a transcendental number that has no finite representation in the decimal number system. I just need to know that pi = "pi" and let Google's calculator handle the rest.

If anyone had bothered to follow the link I provided, they would have seen the obvious utility of this tool. I also provided the sample output, verbatim, to illustrate the importance of parentheses, and the precision of the calculator.

As for computational aids, they can be useful, especially when one doesn't understand the underlying concepts and is totally dependent on rote learning. However, I prefer not to clutter my brain with things I don't need. Instead, all I need to remember is that volume equals area times length. This applies equally to a cylindrical pipe as it does to a length of timber or a stick of licorice.

So ...
volume = cross-sectional area x length 
= area of circle x length 
= pi x radius squared x length 
= pi x (diameter / 2) squared x length 
= (pi / 4) x diameter squared x length
The last line illustrates the reason for the "0.8" in the rule of thumb calculation.

Furthermore, I can mix up the units of length and volume in any way I like. I don't need to remember that the diameter is in millimetres and the length in metres, nor do I need to remember to apply a conversion factor of 1000. Google's calculator does all that.

pi x ((6 inches / 2) squared) x 2.2 m in litres
pi x (((6 inches) / 2) squared) x (2.2 m) = 40.1312323 litres

pi x ((6 inches / 2) squared) x 2.2 m in US gallons
pi x (((6 inches) / 2) squared) x (2.2 m) = 10.60155 US gallons

pi x ((6 inches / 2) squared) x 2.2 m in firkins
pi x (((6 inches) / 2) squared) x (2.2 m) = 0.980848151 firkins

pi x ((6 inches / 2) squared) x 2.2 m in cubic cubits
pi x (((6 inches) / 2) squared) x (2.2 m) = 0.419917362 cubic cubits

Some care needs to be taken to ensure that Google evaluates the expression in the correct order.

The following examples illustrate this point:

http://www.google.com.au/search?q=pi+x+50mm+squared+x+2.2m+in+litres

pi x (50 (mm squared)) x (2.2 m) = 0.345575192 litres

http://www.google.com.au/search?q=pi+x+(50mm)+squared+x+2.2m+in+litres

pi x ((50 mm) squared) x (2.2 m) = 17.2787596 litres

Ha ha .... Love it ...

Though my experience differs from the opening statement.

I found that the new ones on the block usually came up with a 'new way' of doing things dressed up with a confusing range of terms. We oldies were often able to provide evidence of the 'new approach' having been tried unsuccessfully in the past. Often they were out to add another page to their CV before moving on before the results of their innovations were evident.

Mind you it is over 20 years since I retired so perhaps things have changed.

Having said that, I frequently observe people doggedly following the perennial 'Calf Path'. Which perhaps supports dorian's statement.

So there you go.

Time for a cuppa before getting the van ready for a short trip up to The Carnival Of Flowers.

Now what was this thread about?

Jaahn · Guru

Hi smile

Just to provide another look at the inexact PII. In decimal form it is inexact, BUT in ratio form it is not. 22/7 is exact and I use that all the time when I do a simple calc for a circle. Easy to remember too smile

The ancients who found these old relationships never used decimals but mostly saw it all in ratios. Easy to understand too.

Jaahn

dorian · Guru

Jaahn wrote:
Just to provide another look at the inexact PII. In decimal form it is inexact, BUT in ratio form it is not. 22/7 is exact ...

No, it isn't.

7 x pi = 21.9911486

Jaahn · Guru

dorian wrote:
Jaahn wrote:
Just to provide another look at the inexact PII. In decimal form it is inexact, BUT in ratio form it is not. 22/7 is exact ...
No, it isn't.
7 x (22/7) = 22
7 x pi = 21.9911486

By whose calculation ??

Jaahn

dorian · Guru

Jaahn wrote:
dorian wrote:
Jaahn wrote:
Just to provide another look at the inexact PII. In decimal form it is inexact, BUT in ratio form it is not. 22/7 is exact ...
No, it isn't.
7 x (22/7) = 22
7 x pi = 21.9911486

By whose calculation ??
Jaahn

http://www.thefreedictionary.com/calculator

1. (Mathematics) a device for performing mathematical calculations, esp an electronic device that can be held in the hand

Hewy54 · Senior Member

Bit of a chuckle reading all this.
My dad always used to tell me "keep your mouth shut that way people will only THINK you're stupid"

Cupie · Guru

Hi Keith (OP) ..

Don't mind Hewy54 ... or his Father.

I hope we put you right.

Dick0 · Guru

I was looking at making one up out of plastic pipe but space did not permit...however, after measuring, this fitted just nicely and cost about $60.00 from Ebay plus other cheap connections from Bunnings.

Jaahn · Guru

Hi smile

What to say, I am gutted. My old maths teacher told us that 22/7 was exact and now I find it is not furious Out by an enormous 4 in 10000 (approximately of course). I will have to go and find his last resting place and spit on his memory. Who can you trust these days

mea culpa, mea culpa !

Jaahn

Peterpan · Guru

Opinion without 3.14 is an onion.

I'll run now.

Keith P · Senior Member

Cupie wrote:
Hi Keith (OP) ..
Don't mind Hewy54 ... or his Father.
I hope we put you right.

Yep...waaaay back. Found out enough from the paddock variety calculations first up to work out it aint gunna work....so will get the grey water system added as van is being built.

Cheers Keith