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Volume of water. Maths problem need solving. by AusFiero
Started on: 12-18-2006 05:56 PM
Replies: 22
Last post by: StuGood on 12-20-2006 02:27 AM
AusFiero
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Report this Post12-18-2006 05:56 PM Click Here to See the Profile for AusFieroClick Here to visit AusFiero's HomePageClick Here to Email AusFieroSend a Private Message to AusFieroDirect Link to This Post
Ok being 41 now I have had no use for advanced math for a lot of years now and forget most of it. What I need to work out is how many litres are in a small pool the kids have so I can add the chemicals.
The water is 60cm deep and the diameter of the round pool is 330cm.

So what is the equation to work this out?
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Report this Post12-18-2006 06:04 PM Click Here to See the Profile for AntiKevClick Here to visit AntiKev's HomePageSend a Private Message to AntiKevDirect Link to This Post
Area of the pool is:

A = pi * (diameter ^ 2) / 4

(pi = 3.1415926...) volume is area times height.
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Mike Marden
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Report this Post12-18-2006 06:09 PM Click Here to See the Profile for Mike MardenClick Here to Email Mike MardenSend a Private Message to Mike MardenDirect Link to This Post
Actually I think its PI * R squared * height

PI * R squared gives you area

* heigth gives vou volume

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edited to add:

I know, PI are round, cornbread are square

[This message has been edited by Mike Marden (edited 12-18-2006).]

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whadeduck
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Report this Post12-18-2006 06:14 PM Click Here to See the Profile for whadeduckClick Here to Email whadeduckSend a Private Message to whadeduckDirect Link to This Post
Never saw it divided by four before, but it still works. I always just used pi*R^2. Once you get that, your answer will be in cubic centimeters. One cubic centimeter equals one mililiter. Then just move your decimal point to the left three spaces for your answer. Should be somewhere around 5131.7916 Litres.

Radius: 330/2 = 165cm
R^2 = 165^2 = 27225 cm
Multiply times pi (3.141592654...) and get 85,529.86 square cm
take that and multiply it by the depth (60 cm) and get 5131791.6 cubic centimeters
That also equals 5131791.6 mililiters
Divide by 1000 and get 5131.7916 Litres

Got it? Good. There'll be a test later.

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Report this Post12-18-2006 06:16 PM Click Here to See the Profile for topher_timeClick Here to Email topher_timeSend a Private Message to topher_timeDirect Link to This Post
Take the guess work out, input your numbers and hit calculate.

http://www.online-calculators.co.uk/volumetric/cylindervolume.php

I came up with 5,165,018.5 cubic centimeters.

edit you beat me too it

[This message has been edited by topher_time (edited 12-18-2006).]

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whadeduck
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Report this Post12-18-2006 06:22 PM Click Here to See the Profile for whadeduckClick Here to Email whadeduckSend a Private Message to whadeduckDirect Link to This Post
Ok now class we didn't read the entire equation now did we? He was asking for how many litres. So most of you only get partial credit. No soup for you! One year!

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Mike Marden
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Report this Post12-18-2006 06:27 PM Click Here to See the Profile for Mike MardenClick Here to Email Mike MardenSend a Private Message to Mike MardenDirect Link to This Post
AntiKev, I've never seen Pi * Dia ^ 2 / 4 before. Works fine, just my daddy always told me to use the fewest steps to get the right answer. As poorly as I did in high school, the simpler the better worked for me.

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Report this Post12-18-2006 07:04 PM Click Here to See the Profile for JazzManClick Here to Email JazzManSend a Private Message to JazzManDirect Link to This Post
.

[This message has been edited by JazzMan (edited 12-08-2008).]

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whadeduck
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Report this Post12-18-2006 07:57 PM Click Here to See the Profile for whadeduckClick Here to Email whadeduckSend a Private Message to whadeduckDirect Link to This Post
 
quote
Originally posted by JazzMan:

Pie are square.

James


Psssst. Pie are round. Brownies are square.

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Report this Post12-18-2006 08:14 PM Click Here to See the Profile for fieroluvClick Here to Email fieroluvSend a Private Message to fieroluvDirect Link to This Post
 
quote
Originally posted by JazzMan:

On a calculator you would enter diameter x = x .7854 = x height to get volume.

James


ummmm, is my calculator broke.... mine don't have an x on it. lol oh wait there it is but I thought that was used to multiply something.

[This message has been edited by fieroluv (edited 12-18-2006).]

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Report this Post12-18-2006 08:22 PM Click Here to See the Profile for DtheCClick Here to Email DtheCSend a Private Message to DtheCDirect Link to This Post
 
quote
Originally posted by whadeduck:


Psssst. Pie are round. Brownies are square.



Are these regular brownies or some Boondawg made?

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Report this Post12-18-2006 08:48 PM Click Here to See the Profile for kwagnerClick Here to visit kwagner's HomePageSend a Private Message to kwagnerDirect Link to This Post
 
quote
Originally posted by Mike Marden:

AntiKev, I've never seen Pi * Dia ^ 2 / 4 before. Works fine, just my daddy always told me to use the fewest steps to get the right answer. As poorly as I did in high school, the simpler the better worked for me.



A = Pi * Dia ^ 2 / 4
works because
= Pi * (2 * Rad) ^ 2 / 4
= Pi * 4 * Rad ^ 2 / 4
= Pi * Rad ^ 2

It's actually the same number of steps if you start with diameter instead of radius You either divide the diameter by 2 to get radius, or you just plug the diameter into the equation and divide the result by 4. If you mean using less complicated (aka harder to remember) formulas, then yeah I agree
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Report this Post12-19-2006 10:20 AM Click Here to See the Profile for PyrthianClick Here to Email PyrthianSend a Private Message to PyrthianDirect Link to This Post
or, RTFM
most pools come with a booklet....with a capacity listing

edit: but anyways - yes - pie are squared
times the depth

[This message has been edited by Pyrthian (edited 12-19-2006).]

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AntiKev
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Report this Post12-19-2006 10:23 AM Click Here to See the Profile for AntiKevClick Here to visit AntiKev's HomePageSend a Private Message to AntiKevDirect Link to This Post
 
quote
Originally posted by Mike Marden:
AntiKev, I've never seen Pi * Dia ^ 2 / 4 before. Works fine, just my daddy always told me to use the fewest steps to get the right answer. As poorly as I did in high school, the simpler the better worked for me.


He gave me diameter, I gave him the formula with diameter. Quite often in engineering we're given a diameter, and it's just quicker to plug it directly in than to use the extra step and divide by two. It's efficiency not laziness.
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Report this Post12-19-2006 10:36 AM Click Here to See the Profile for EuterpeClick Here to Email EuterpeDirect Link to This Post
 
quote
Originally posted by Pyrthian:

but anyways - yes - pie are squared



silly... everyone knows that pie aren't squared. pie are round.

-- gracy allen
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Marvin McInnis
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Report this Post12-19-2006 12:13 PM Click Here to See the Profile for Marvin McInnisClick Here to visit Marvin McInnis's HomePageSend a Private Message to Marvin McInnisDirect Link to This Post
 
quote
Originally posted by AntiKev:

He gave me diameter, I gave him the formula with diameter. Quite often in engineering we're given a diameter, and it's just quicker to plug it directly in than to use the extra step and divide by two. It's efficiency not laziness.



Exactly! If the problem is stated in terms of diameter, there is less chance of error if it's solved in terms of diameter. (Note that at least one person above got the wrong answer because he plugged the diameter into the formula that requires a radius.)

R ^ 2 = (D / 2) ^ 2 = (D ^ 2) / 4 ... They're all exactly the same, and equally correct. Use whatever works best, is easiest to understand, and is least prone to error.


 
quote
Originally posted by Pyrthian:

or, RTFM
most pools come with a booklet....with a capacity listing



But what if the "FM" is wrong ... as often happens, especially with products from Asia? If you understand the basic principles, you can always figure it out for yourself.

[This message has been edited by Marvin McInnis (edited 12-19-2006).]

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84fiero123
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Report this Post12-19-2006 12:37 PM Click Here to See the Profile for 84fiero123Click Here to Email 84fiero123Send a Private Message to 84fiero123Direct Link to This Post
I want some of those brownies if Boonie made them!

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Report this Post12-19-2006 04:03 PM Click Here to See the Profile for MinnGreenGTClick Here to visit MinnGreenGT's HomePageClick Here to Email MinnGreenGTSend a Private Message to MinnGreenGTDirect Link to This Post
OK "Math Nerds" - since you clearly have a grasp on the simpler problems... how about this one (this was a question posed on a local radio show a couple of months back)?

Using whatever resources you can (site them if necessary)... what would be the average depth (in feet), if the Volume of Earth's water covered the entire surface of the earth (basically, assume a smooth sphere with the water filled "equally" all around it)?

Now I didn't "win" anything, but they did use my answer as reference for others... I'll share my details after a couple of other people take some educated stabs at it

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whadeduck
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Report this Post12-19-2006 04:07 PM Click Here to See the Profile for whadeduckClick Here to Email whadeduckSend a Private Message to whadeduckDirect Link to This Post
Do we need to include the water in the atmosphere too or just the surface water?

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Report this Post12-19-2006 04:16 PM Click Here to See the Profile for PyrthianClick Here to Email PyrthianSend a Private Message to PyrthianDirect Link to This Post
dunno how deep it is right now... i will throw my guess at 7,000 feet
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MinnGreenGT
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Report this Post12-19-2006 04:17 PM Click Here to See the Profile for MinnGreenGTClick Here to visit MinnGreenGT's HomePageClick Here to Email MinnGreenGTSend a Private Message to MinnGreenGTDirect Link to This Post
 
quote
Originally posted by whadeduck:

Do we need to include the water in the atmosphere too or just the surface water?



Good Question!

Doesn't make much difference to me... as long as you can site your source. The source I used had a number of other sources listed... all with approximately the same volume shown.

 
quote
Originally posted by Pyrthian:

dunno how deep it is right now... i will throw my guess at 7,000 feet


You're actually not too far off!

[This message has been edited by MinnGreenGT (edited 12-19-2006).]

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Report this Post12-20-2006 02:13 AM Click Here to See the Profile for AusFieroClick Here to visit AusFiero's HomePageClick Here to Email AusFieroSend a Private Message to AusFieroDirect Link to This Post
Thanks for the answers guys.

I think I jinxed sumemr when I set it up. It has rained since and is cold.
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StuGood
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Report this Post12-20-2006 02:27 AM Click Here to See the Profile for StuGoodSend a Private Message to StuGoodDirect Link to This Post
 
quote
Originally posted by whadeduck:...around 5131.7916 Litres....
Got it? Good. There'll be a test later.


FWIW, I get 5131.8 liters.
Did I pass?? Ohhh... points deducted fer mizspelt word (Litres)

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