Friday, September 14, 2012

Doing the Math - Volume and Conversions

http://resource.rockyview.ab.ca/rvlc/math8/M8U4%20Prisms%20and%20Cylinders/M8U4%20Prisms%20PIcs/65552.jpg

I'm looking at a rainwater collection system we have and wanted to see how much water we could store from tanks of a specific size, but I had to look up the formula for the volume of a cylinder:

V = ∏ × r² × h

So, for a tank with a radius of 7.5' and a height of 15', the equation would be:

V = 3.1416 × 7.5² ×15 = 2,650.725 cubic feet

And to convert cubic feet to gallons, we use the following formula, where one cubic feet is equal to 7.48 gallons:

2,650.725 cu ft × 7.48 cu ft/gallon = 19,827423 gallons

That's more than I had estimated, but it's still a pretty big tank. Now, if we could only get the consistent rainfall in central Texas to keep one full...

http://msnbcmedia2.msn.com/j/MSNBC/Components/Photo/_new/111122_texas-drought.grid-8x2.jpg

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