Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**wised****Member**- Registered: 2006-01-08
- Posts: 2

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?

Offline

**irspow****Member**- Registered: 2005-11-24
- Posts: 457

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)*

Offline

**VR Hawks****Member**- Registered: 2005-11-26
- Posts: 401

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)*

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

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,616

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

Offline

**irspow****Member**- Registered: 2005-11-24
- Posts: 457

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.

Offline

**VR Hawks****Member**- Registered: 2005-11-26
- Posts: 401

You've got sense, MathIsFun!

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

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. :):)

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

Offline

**VR Hawks****Member**- Registered: 2005-11-26
- Posts: 401

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

Offline

**irspow****Member**- Registered: 2005-11-24
- Posts: 457

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

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

Offline

**VR Hawks****Member**- Registered: 2005-11-26
- Posts: 401

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

Offline