![]() I made it up to 120 inches.easy enough to expand if you need. Just put in the Diameter and length, and it will work out the gallons at each inch measured. Grab a empty pop bottle and a tape measure 25% full is not met until just under 30". However, you cannot assume that at 25% diameter, you would have 204 gals.in fact, at 25".you only have 159.5 Gals. One can assume that 50% full (50% of Diameter), you would have 408 gals, and you'd be right. Plus, once you pass the mid-point, the increase per inch of height is less each time.hence all the math.įor example, a 100" diameter cylinder of length 24", has a total volume of about 816 gallons. To convert from CuFt to gallons multiply by 7.48Ĭlick to expand.Because the cylinder is laying on it's side, As you move up, the circular cross-section means that the increase in volume is not linear in respect to increase in height. To get the volume multiply that area by the length of the cylinder and like I said earlier this only works if the tank is half full or less.Įdit: I tried it in a spreadsheet and it seems that the formula works even if the tank is more than half full. ![]() The formula for the sector area is where R is the radius of the circle and h is the height of the segment (fuel level) This is assuming the ArcCos function returns Radians: The area of a circle segment is equal to the area of the sector (pie slice) whose endpoints on the circle are co-located with the endpoints of the segment minus the area of the triangle above the segment. Above that I'd have to take the segment area of the area above the fuel and subtract it from the total area of the circle that forms the end of the tank. I only know how to calculate that when the "fuel level" is at or below half full. ![]() For a horizontal cylinder you need the area of a circle segment (the area of a circle between a chord line and the circle boundary). Click to expand.Tony, you are calculating the volume of a vertical cylinder.
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