2/21/2024 0 Comments Cylindrical tank volume calculator![]() I apologize for the strict legalese below, but the calculations described here may be used to design and maintain fuel tanks and the possibilities for litigation have not escaped my attention. To analyze the sloped section, I decided to use a method I created for TankCalc - see Figure 2. There's no simple, closed-form equation for this part. ![]() More difficult - the tank's sloped section, which lies between the tank's bottom and the top of the slope where the tank becomes a cylinder.The easy part - the cylindrical section above the slope, which has a volume of:.Some requests have an infelicitous combination of rarity and mathematical difficulty, but this one isn't too difficult, and it's my hope that there are more such tanks out there so this analysis will prove useful to others.įigure 2: Equation for partial circle areas (from TankCalc)Īnalysis of partial volumes of this tank type can be broken down into two subproblems: Have you any methods by which I could calculate the volume? I can find methods for calculating the volume using vertical sections of the wedge - but liquid is not quite nice enough to stand on end in infinitesimal slices so these do not work. The issue is in trying to model volume of any given horizontal section of the cylindrical wedge. Once the level is above the cylindrical wedge section, volume calculations are trivial. We have a series of fermentors that are vertical cylinders but have a sloped base. I have an interesting problem here at work. Here's an excerpt from the original request: The tank described here falls into that category, and I hope it's common enough for this analysis to be useful. Every once in a while I get a request that's reasonable and practical enough to pursue an analysis. Since I origially wrote TankCalc years ago, I've gotten requests to write equations and compute values for any number of strange tank shapes. Figure 1: A storage tank with a sloped bottom section
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