Calculations with an egg shape. An egg in most cases is an ovoid, a three-dimensional oval, whose calculation is extremely complicated. Here, a solid made of two half spheroids with equal base radiuses is used as an approximation. For many eggs, especially chicken eggs, this is a good approximation. Enter base radius and both half heights and choose the number of decimal places. Then click Calculate.
h = h1 + h2
b = 2 * a
if a > hi: Ai = πa * [ a + hi² / √ a² - hi² * arsinh( √ a² - hi² / hi ) ]
if a < hi: Ai = πa * [ a + hi² / √ hi² - a² * arcsin( √ hi² - a² / hi ) ]
if a = hi: Ai = 2πa² (hemisphere)
A = A1 + A2
V = 2/3 * π * a² * h
π = 3.141592653589793...
Radius, heights and width have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.