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Four spheres and a cylinder Geometry puzzles  Weight: 5 Liked the puzzle: 100% 26.01.2010
Four spheres and an infinite cylinder are arranged on a plane so that all these solids touch each other and the plane. The cylinder has radius 1cm. Describe the spatial arrangement of these solids and find the radii of all spheres.
Comments:   7 check your solution  

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idler_
 
Rating: 106
Group: Moderators
2011-01-28 19:42:10
Reserved.
danger2society
 
Rating: 35
Group: Members
2011-03-09 00:09:18
Does this mean that the three spheres are inside the cylinder or is the cylinder solid?
alan
 
Rating: 231
Group: Moderators
2011-03-09 09:08:30
danger2society 2011-03-09 00:09:18
Does this mean that the three spheres are inside the cylinder or is the cylinder solid?

All bodies are solid.
zzz123
 
Rating: 72
Group: Members
2011-03-20 17:24:15
"arranged on a plane" = the arrangement is 2-dimensional (and "touch the plane" is implied thereby). is this what was meant?
kavfy
 
Rating: 221
Group: Moderators
2011-03-20 21:58:11
zzz123 2011-03-20 17:24:15
"arranged on a plane" = the arrangement is 2-dimensional (and "touch the plane" is implied thereby). is this what was meant?

All five solids lie on a plane. The problem is in 3 dimensions
Danallen
 
Rating: 29
Group: Members
2011-08-01 07:18:08
The plane is two-dimensional though? i.e. it is not a hyperbolic parabolic plane, or some such thing, but resides only in two dimensions? Or are we allowed to assume otherwise? The problem doesn't specify the plane to be in 2 dimensions.
kavfy
 
Rating: 221
Group: Moderators
2011-08-02 08:18:31
The plain is flat.



 
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