Peret Posted February 20, 2014 Posted February 20, 2014 Inspired by FireInTheHole's status question about how important is calculus. Early in my career I had to solve this. Warning: uses calculus. Can anybody come up with the formula? You have a cylindrical tank, laying horizontally, partly full of liquid. You know how long it is, you know the diameter. You have a dipstick and can measure the depth of liquid inside. What is the formula to calculate the volume of liquid in the tank, given the depth?
ddewees Posted February 20, 2014 Posted February 20, 2014 R = Radius of tankh = distance from top of tank to surface of liquidArealiquid = πR2 – R2 arccos [(R-h)/R] + (R – h)√(2Rh-h2) Volume = Area of liquid * Length of tank
Peret Posted February 20, 2014 Author Posted February 20, 2014 (edited) Show your working. Derive from first principles. That is right, by the way. Edited February 20, 2014 by Peret
Coulterbart Posted February 20, 2014 Posted February 20, 2014 Impressive. I tell my daughter all the time. Math is the one school subject you will use some form of everyday for the rest of your life.
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