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How to calculate the surface area of ellipsoid
Let the three semi-axes of an ellipsoid be: a, b and c, then:

Ellipsoid volume: V=(4/3)×pi×abc. ? ①?

Surface area of ellipsoid: S=(4/3)×pi×(ab+bc+ca). ②

When: a=b=c=r, the ellipsoid becomes a sphere, and the radius of the sphere is: r, then the above formula (1) becomes the volume of the sphere:

v=(4/3)×pi×abc=(4/3)×pi×r^3; ② The formula is changed to sphere surface area: S = (4/3 )× (AB+BC+CA) = 4× PI× R 2.

If you want to know how to get this formula, one of the ways is to get it by integration: S=2pi*{ definite integral 0 ~ pi [c * sin (t) (a2 * (sin (t)) 2+B2 * (cos (t)) 2) (1/2).

The question is not clear.

The surface area of elliptical head (x 2/a 2+y 2/c 2+z 2/c 2 =1,c > A≥0, x≥0) is calculated as follows:

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