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The Pythagorean Theorem is used to calculate the length of one side in a right triangle when the lengths of the other two sides are known. It is used in geometry and trigonometry to find distances, angles, and shapes in two-dimensional space.
Volume, on the other hand, is used to measure the amount of space occupied by a three-dimensional object. It is used in geometry to calculate the amount of material needed for a container or the space enclosed by a shape.
In summary, the Pythagorean Theorem is used for finding lengths and distances in two-dimensional space, while volume is used for measuring the amount of space occupied by a three-dimensional object.