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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?
The volume of the cylinder is the base time the height and you are given that information.V = 100× 12 = 1200If 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)
To find out the cylindrical container's total volume, refer to the calculations below.Base Area x Height = Volume100 x 12 = 1200 LAnd to find out 1/3 of it, times the total volume by 1/3 or devide the total volume by 3.1200/3 = 400 L1200 x 1/3 = 400 L
Last edited by VR Hawks (2006-01-10 00:27:07)
Curious fact: the water would fill a cone of the same dimensions.
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.
You've got sense, MathIsFun!
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.
Actually, I noticed that MathIsFun was and is our "emperor" and captain, a captain with capable knowledge to solve our problems.
Nice post, VR Hawks Its interesting to note that you are from Hongkong.
I might be nitpicking but VR Hawks posted a solution of 400L when the answer was 400m³. That would be 400,000L of water.
irspow is right! A metre³ of any substance is 1,000 litres!
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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