I need to do a preliminary space layout for a fire pond.
Does anyone know a formula for calculating the #of gallons in a round pond given a side slope of 45°.
Or to word it differently, If I build a pond with a side slope of 45° that is 8′ deep, what diameter will house 90,000 gallons? (in low drought conditions we need a minimum of 30,000 gallons.)
This is for a fire pond for the eldercare facility.
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Replies
Piffin,
I don't have any of my old math books, but that sounds suspiciously like a calculus problem we used to have called the volume of a revolution. You get an equation for your line (in this case I believe it is a simple 2x+y) and then calculate the volume if it was rotated around an axis and divid that by 2 since you are only using half of the created 3-d shape. My recollections are so dim that I'm afraid to offer a more detailed answer 'cause it will be way off. Hope this helps point you in the right direction though.
Amy