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Hole in a bead (Posted on 2004-08-21) Difficulty: 4 of 5
A round hole is drilled through the center of a spherical solid with a radius (r). The resulting cylindrical hole has height 4 cm.

a)What is the volume of the solid that remains?

b)What is unusual about the answer?

See The Solution Submitted by Pieater    
Rating: 3.0909 (11 votes)

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re: Question about the givens | Comment 2 of 13 |
(In reply to Question about the givens by Larry)

To address your questions:

  • The radius r refers to the radius of the spherical solid.
  • The round hole is drilled all the way through the sphere.
  • The resulting round hole is a perfect cylinder of unknown radius (no larger than the radius of the original spherical solid), and of height 4cm.
I am not giving any information that is not already in the problem.

  Posted by SilverKnight on 2004-08-21 08:45:12
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