Question

I have a task find out the amount of petrol in a horizontal cylindrical tank.
I have 3 parameters. I tried this formula but did't get, help me please

V=A*L

radios=113.5,length=600,height=10 (height is level(cm) of petrol in Tank at end of the day)
A=Fluid Surface Area, Side
A = r² × (π ⁄ 2 − arcsin(1−h ⁄ r)) − (r−h) ×√h×(2×r−h)

Regards
Murali

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Solution

You can directly use formula (18) from Matworld page about circular segment

enter image description here

N.B. this is the same formula as yours, because Cos(Pi/2 - Alpha) = Sin(Alpha)

Volume := L * (R * R * Math.ArcCos((R - h)/ R) - (R - h) * Sqrt(2 * R * h - h * h))

OTHER TIPS

Volume of a cylinder is π *  r² * h here in your case h = length.

so use this formula and try to find out.

for more info : http://www.mathopenref.com/cylindervolume.html

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