Volume

The volume of a geometric figure is a quantity indicating how much 3-dimensional space an object occupies.

Formulas for volume include:

• For a cube: V = r³
• For a sphere: V = ⁴/₃πr³
• For a cylinder: V = πr²h
• For a cone: V = ¹/₃πr²h

For more abstract objects, the volume is obtained by triple integration. The formulas above can be calculated this way, and that is a common exercise in integral calculus.