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I anm not aware that there is one. An approximate volume could be obtained by modelling the egg as a prolate ellipsoid.
The volume of an ellipsoid is given by (4/3)(pi)abc where a, b, and c are the lengths of the semi-axes. For an ellipsoid of revolution, two of the semi-axes are equal. The volume could be measured by measuring the volume of fluid displaced when the egg is completely immersed in the fluid. There are a number of ways of doing this, but the simplest is probably to use an apparatus called an overflow can which should be found in most high-school science labs.
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