Almost always liters (L). Careful of the units that the question is asking for though. If it wants its answer in mL, you would have to convert the L to mL after solving.
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No, volume is measured in cubic units, area is measured in square units.
Volume
Volume of a solid that is measured by cubic units
Volume of a ball or sphere = 4/3*pi*radius3 and measured in cubic units
The volume of an object has three dimensions and when all three dimensions are multiplied together the product is called the volume which is measured in cubic units.