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Question: Questions re an irregular solid angle

Question:Questions re an irregular solid angle

Earl 930 Maple 15
October 20 2015
2

The downloaded worksheet below displays 3 points on the unit sphere which define a solid angle with a triangular face. The sides of the solid angle's are red arcs on the surface of the sphere and red radii which outline the planar sides within the sphere.

Three questions:

1. Is there a way to make the surfaces of the solid triangle more apparent by filling them with color?

2. Is there a way to calculate the area of the face on the surface of the sphere?

3. Is there a way to calculate the volume of the solid triangle?

 

Download Mechanics;_irregular_solid_angle.mw
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