On simple Physics model behind allometric egg size empirical equation of Calder, 1984

Calder has given an empirical formula relating egg length to it's mass l = 1.51 m^ 0.34 , where output is egg size in cm and egg mass is inputed in grams. However, this relationship is strictly empirical. I show here that this allometric relationship is merely the outcome of egg geometry and it's basic physical properties.