Math Is Fun Forum

wised

Member

Registered: 2006-01-08

Posts: 2

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?

irspow

Member

Registered: 2005-11-24

Posts: 1,055

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 (2006-01-08 07:42:04)

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I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

VR Hawks

Member

Registered: 2005-11-26

Posts: 401

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 (2006-01-09 01:27:07)

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

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: solids

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

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

irspow

Member

Registered: 2005-11-24

Posts: 1,055

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.

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I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

VR Hawks

Member

Registered: 2005-11-26

Posts: 401

Re: solids

You've got sense, MathIsFun!

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,738

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. :):)

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

VR Hawks

Member

Registered: 2005-11-26

Posts: 401

Re: solids

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

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

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,738

Re: solids

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

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

irspow

Member

Registered: 2005-11-24

Posts: 1,055

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.

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I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,738

Re: solids

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

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

VR Hawks

Member

Registered: 2005-11-26

Posts: 401

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.

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