Silverfish Strikes Back
Silverfish gets this time into a sphere of radius 31 mm and digs a tunnel of total length 61 mm.
Can you cut the sphere with a straight slice through the center so that one of the two halves is not in the tunnel area?
* The tunnel need not be a straight line. Here is one old adventure of Silverfish
Can you cut the sphere with a straight slice through the center so that one of the two halves is not in the tunnel area?
* The tunnel need not be a straight line. Here is one old adventure of Silverfish
Labels: logic, mathemagic
posted by Rajesh Lal at
3:21 PM
7 Comments:
yes, if it doesnt have to be a straight line he could dig through like a windy tunnel.
the area is like really really big
dig a tunnel in a "U" shape and when it pops up cut its top half off
yes it can, if it tunnels throught it in winding (zig zag) manner on just the half of the sphere
if he tunnels along the surface it will still be a straight line...you need to understand spatial gemoetry for this. nice question, but not worded correctly
A sphere with a radius of 31 has a diameter of 62. Since I don't know what diameter the bore needs to be, let's say it is very small. Silverfish can start anywhere on the surface of the sphere and tunnel to any point on the circle 61 away that is on the surface of the sphere. An infinite number of slices can be made parallel to the bore through the center of the sphere that satisfies the requirement.
Rajesh,
Seems that Q statement needs more elaborations?
1) As Ano 6/13 5:02a said, need to know the diameter of Bore?
(Ano, pls add NickName or Initial?)
2) Assume the 61 mm is measured from center of Bore of 1 end to the other end?
3) Can the tunnel be "slanted" at the interfacing pt with spere surface? Or does it have to be perpendicular to the sphere surface...? Shark
yes, the shpere can be cut in half with one of the halves not containing the tunnel. As long as tunnel is not crossing the core of the shpere.
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