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: 455

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: 7,552

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: 455

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: 14,807

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.

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: 14,807

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

Character is who you are when no one is looking.

Offline

**irspow****Member**- Registered: 2005-11-24
- Posts: 455

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: 14,807

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

Character is who you are when no one is looking.

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