Finding surface area of a section of a sphere.

sprotz

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Sep 26, 2018
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What is the method for finding the surface area of a section of a sphere determined by a tetrahedron (3 sided pyramid) cut into the sphere as shown in the diagram below. So what would be the surface area of the section shaded in pink given the radius r, longitudnal distance c and angle a from the vertical line to the horizontal plane. Likewise, what is the method for finding the volume of this section?

orb.jpg
 
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