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Question 132916: I bought a big cylindrical gas tank. I was told it was 550 gallons. I actually confirmed this by converting all units to metric and solving for V = pi r^2 h. Unfortunately, my trig and calc lessons are long forgotten, so i need a little help.
I need to know the volume of the fuel in it by dipping the tank with a rudimentary dip stick. The dip stick has inches as units. The internal size of the tank is 60.325cm in diameter and 181.61cm in length. The tank lays on its side with the 181.61cm side flat on the ground and the filler/dipping access on the top exactly opposite.
Could you provide a formula that would create a graph with inches on the vetical scale and gallons on the lateral scale?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! You have a little problem here. Either the guy who sold you the tank sold you a bill of goods and you really have a 137 gallon (roughly) tank, or 60.375 cm is the RADIUS, not the DIAMETER. 60.375 cm is just under 2 feet, so measure all the way across the end of the tank through the center of the circular end. If it is about 2 feet, you have a 137 gallon tank, if it is twice that, you have a 548 gallon tank.
Whichever it is, send me an e-mail reply and I'll send you a chart. The only other question is: Are you going to put your dipstick in with the 0 mark down and measure the depth of the fuel, or with the 0 mark up and measure the distance from the top of the tank to the surface of the fuel. It doesn't matter, except to tell me how to arrange the axis markings on the chart.
Also let me know if you want an explanation of the mathematics, or just the chart.
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