What would happen if shelled raw egg and deshelled boiled egg are placed in water?

The shell of an egg is mainly made up of calcium bicarbonate. It is impermeable to water. So, when the shelled egg is placed in water, there will not be any change in the size of the egg. While when the deshelled boiled egg is placed in water, it also does not show any change in size because its membranous covering has become dead due to boiling.