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Volume of liquid in a tilted tank with hemispherical heads

Calculates volume of liquid in an inclined cylindrical tank with hemispherical ends.

The calculator below computes volume of liquid in a tilted cylindrical tank with hemispherical heads.

Tilted tank with hemispherical heads
Tilted tank with hemispherical heads

PLANETCALC, Liquid volume in inclined cylindrical tank with hemispherical heads

Liquid volume in inclined cylindrical tank with hemispherical heads

Length of cylindrical tank part (whole tank length except heads)

Distance between liquid level measurement place and nearest base. (0 if level is measured right near the base).

Digits after the decimal point: 2
Liquid level near upper base
 
Liquid level near lower base
 
Liquid volume
 
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The tank length L must be entered without counting head length. Since the head is hemisphere, we assume both head length is equal to cylinder radius R.
Liquid level must be measured near upper or lower head at a distance d from the head and tank body intersection (see the picture), set distance to 0 if you measure the level directly on the head splice. Tilt angle must be set in degrees, enter 0 if the tank is horizontal. It is acceptable any measurement units, as result you get the same cubic unit, e.g. if you measure in inches, the calculator computes volume in cubic inches.

Calculation formula

The tilted tank volume with hemispherical ends consist of two hemispherical ends and one cylinder. The calculator computes these figure volumes step by step and sum the results. Hemisphere section volume formula can be found here : Volume of the hemisphere cut at an angle, cylinder section formula is described here: Tilted cylindrical tank volume.

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