Dear Colleagues;
Given
Volume V of sphere = (4/3)*pi*r^3
Volume V of spheroid = (4/3)*pi*a*b^2
where axes 2a > 2b
Eccentricity e of spheroid = [1 - (b^2/a^2)]^(1/2)
then given a numerical value for the volume of a sphere, is there a
unique value for the eccentricity of a spheroid with the same volume?
For example, I have two spheres, one with a volume of 357 cm^3 and
the other with a volume of 372 cm^3. What would be the eccentricities
of spheroids with volumes of 357 cm^3 and 372 cm^3?
Kindly direct responses to me directly at
toukie at zui.unizh.ch
Thanks in advance to all responders,
S. Shapiro
toukie at zui.unizh.ch