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## #1 2006-01-09 06:03:09

wised
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### solids

a cylindrical container has a base area 100 m2 and is 12 m high. if the container is one-third filled with water, what is the volume of the water in the container?

## #2 2006-01-09 06:19:51

irspow
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### Re: solids

The volume of the cylinder is the base time the height and you are given that information.

V = 100× 12 = 1200

If the cylinder is 1/3 full then the water volume is 1/3 the volume of the cylinder;

1200/3 = 400 m^3

Last edited by irspow (2006-01-09 06:42:04)

## #3 2006-01-09 23:02:04

VR Hawks
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### Re: solids

To find out the cylindrical container's total volume, refer to the calculations below.

Base Area x Height = Volume

100 x 12 = 1200 L

And to find out 1/3 of it, times the total volume by 1/3 or devide the total volume by 3.

1200/3 = 400 L

1200 x 1/3 = 400 L

Last edited by VR Hawks (2006-01-10 00:27:07)

Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

## #4 2006-01-10 08:12:30

MathsIsFun

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### Re: solids

Curious fact: the water would fill a cone of the same dimensions.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

## #5 2006-01-10 11:45:06

irspow
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### Re: solids

Not curious...the area formula for a cone is 1/3 the area of a cylinder.  Actually a cone is just a tapered cylinder anyway.

## #6 2006-01-10 20:32:43

VR Hawks
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### Re: solids

You've got sense, MathIsFun!

Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

## #7 2006-01-10 22:29:20

ganesh
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### Re: solids

You have realized that a bit too late. I knew that he had a lot of sense and was a friendly person the day I registered in the forum. MathsIsFun is our Commander.

Character is who you are when no one is looking.

## #8 2006-01-11 00:07:10

VR Hawks
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### Re: solids

Actually, I noticed that MathIsFun was and is our "emperor" and captain, a captain with capable knowledge to solve our problems.

Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970

## #9 2006-01-11 00:38:41

ganesh
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### Re: solids

Nice post, VR Hawks Its interesting to note that you are from Hongkong.

Character is who you are when no one is looking.

## #10 2006-01-11 08:58:50

irspow
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### Re: solids

I might be nitpicking but VR Hawks posted a solution of 400L when the answer was 400m³.  That would be 400,000L of water.

## #11 2006-01-11 20:47:57

ganesh
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### Re: solids

irspow is right! A metre³ of any substance is 1,000 litres!

Character is who you are when no one is looking.

## #12 2006-01-12 23:01:49

VR Hawks
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### Re: solids

Oh, really sorry. I didn't notice that. So, it should be 400,000L.

Actually, I wrote the unit as litres because you're measuring the volume of water.

Name :: Vincent Raider Hawks
Gender :: Male
Birth Date :: July 4 , 1970