Optimization puzzle: Cone containing a unit sphere

optimization puzzle about a unit sphere inside a cone. Challenge is to find (a) minimum cone volume, (b) minimum lateral surface area of cone, and (c) minimum total surface area of cone

 

talljerome

 
Materialtyp
Aktivität
Tags
calculus  cone  differential-calculus  extremum-problems  geometry  solids  sphere  surface  volume 
Zielgruppe (Alter)
3 – 19+
Sprache
English
 
 
 
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