![]() ** area of sector of circle with angle 2 theta = r^2 theta If theta is the angle, in radians, between the vertical through the centre of the circle and a radius drawn from the centre to the point of contact of the fuel and the side of the tank, then Suppose r = the radius of the tank and h = the height of the fuel measured from the lowest point to the surface of the fuel (the dipstick reading): ![]() If this cross-sectional area is multiplied by L, the horizontal length of the tank, we have the volume. We simply need to calculate the area of a segment of a circle, representing the cross-section of the tank that contains the fuel. Doctor Anthony straightforwardly derived it: The problem is not difficult. Today, I suppose they would be more likely to use a spreadsheet to do the calculations the formula is available in many places. The calculation is sufficiently complicated that most people would find it easiest to use a chart. The smallest tank size on the chart I have is 300 gal. Our objective is to reduce the amount of fuel purchased on the road and more accurately calculate the amount of fuel left on board. I need something that a driver, given the length and height of the tank, can use to calculate the remaining fuel by measuring the height of the remaining fuel. ![]() I have a horizontal tank content indicator chart but it is for larger tanks. The tanks are 97-gallon horizontal tanks. I'm trying to find a chart that can be used by our drivers to check the content of a fuel tank by inserting a sort of yardstick into the tank and checking the inches of liquid in the fuel tank. Here is a typical, well-written question, from 1999: Horizontal Gas Tank Content Formula Here I will look at just a couple of these, with links to others, most of which include derivations. The simplest case involves a rather complicated formula from there, we can reverse the formula (finding the depth for a given volume), or we can add features to the tank. Over the years, we have received a huge number of questions asking about how to find the amount of liquid (water, oil, …) in a tank, usually a horizontal cylindrical tank.
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