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  1. Determine the equation of the curve that defines the body of rotation; in the case of a semi-ellipsoidal chute, the equation is
    Mathinline
    body$ \largeLarge{ \frac{x^2}{r^2} + \frac{y^2}{h^2} = 1} $
    , where
    Mathinline
    body$$ \large {r}$$
     is the desired opening radius of the inflated parachute and
    Mathinline
    body$$ \large {h}$$
     is the desired height of the inflated parachute
  2. Find the arc length of the curve by using the arc length forumula:

Cutting the gores

 

Assembling the gores

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