SOLUTION: ok i'm a home owner 50 years old and have forgotten most everything-- that said here is my dilema.my well is 6 inches in diameter-- it is 400 feet deep-- the pump is only 200 feet

Algebra ->  Surface-area -> SOLUTION: ok i'm a home owner 50 years old and have forgotten most everything-- that said here is my dilema.my well is 6 inches in diameter-- it is 400 feet deep-- the pump is only 200 feet       Log On


   

Question 90523: ok i'm a home owner 50 years old and have forgotten most everything-- that said here is my dilema.my well is 6 inches in diameter-- it is 400 feet deep-- the pump is only 200 feet deep--can you tell me how many gallons of water i gain for every foot i drop the pump i guess it's simpler if i ask what is the volume of water- in gallons - per foot in a 6 inch cylinder? thanks for your help. bill
Answer by kev82(151) About Me  (Show Source):
You can put this solution on YOUR website!
So basically, you want the volume of a cylinder 6 inches diameter, 1 ft tall?

Well the formula for volume of a cylinder is



Where r is the radious and h is the height. The radious is half the diameter which is 3 inches. Putting the numbers in gives your volume at roughly 334 cubic inches. I don't know how to convert cubic inces into gallons, especially as an English gallon and an American gallon are different. However, I can convert it to litres and you can figure it from there I hope.

1 litre, is 1 decimeter cubed, which is 1000 centimeter cubed. An inch is 2.54 centimeters so a litre is 1000/(2.54)^3=61.02 cubic inches. You have about 334 cubic inches, so 334/61.02 = 5.5 litres. Hopefuly you can convert litres into gallons.

Hope that helps,

Kev