July 15th, 2019, 09:16 AM  #1 
Newbie Joined: Mar 2009 Posts: 14 Thanks: 0  Computing volume of fiber bundle
I am trying to compute the 3darea of the 3dsphere (embedded in 4d space) by treating it as a bundle of circles over a 2dsphere. I assume the following: 1. The base is a 2dsphere having the same radius as the total 3dsphere. 2. Each fiber is a circle, also having the same radius. 3. Each fiber is perpendicular to the base at the point where it intersects the base. 4. Each fiber is parallel (equidistant) to its neighboring fibers. When I multiply the circumference of the circle fiber with the area of the 2dsphere base, I'd think I should get the 3darea of the 3dsphere, but I get something different. What am I doing wrong? 

Tags 
bundle, computing, fiber, volume 
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