Thread: Problem 23
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Old May 25th, 2007, 01:38 PM
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Quote:
Originally Posted by CaptainBlack View Post
Consider a tunnel (not necessarily straight) of length 101 units through a
sphere of radius 51 units.

Prove that the sphere can be cut into two congruent pieces one of which
contains the tunnel in its interior.

RonL
How can these two pieces be congruent if one has a tunnel in it?