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Calculate Liters in a Balloon

Calculator how many liters fit into a ball or balloon of a certain size and how big the content is at a certain fill level.

Mathematically, a balloon or ball is a sphere. There are other balloon shapes, but calculating those volumes is extremely complicated. The size of a perfectly round balloon is given by the radius or diameter, measured inside the balloon. Or you measure outside and subtract twice the wall thickness.

Balloon

Example: a ball with a radius of 5 cm, i.e. a diameter of 10 cm, has a volume of 0.5236 liters.

Please enter any value, the other two values will be calculated.

Radius:cm
Diameter:cm
Volume:liters



If the balloon is only partially filled, then the volume has the shape of a spherical cap.

Partially filled balloon

Example: a ball with a radius of 5 cm and a filling height of 8 cm has a volume of 469.1 milliliters.

Please enter the radius or diameter and the fill level, the other values will be calculated. The filling height must not exceed the diameter. If it is the diameter, then the balloon is full.

Radius:cm
Diameter:cm
Fill level:cm
Volume:liters



Toy balloon

This balloon with a diameter of 16 centimeters holds more than two liters. If it is filled to ten centimeters, then it contains almost one and a half liters.



Here you can convert metric volume units into customary and imperial units.

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