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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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Question Question about the givens | Comment 1 of 13
I'm confused about the details of the problem.

Does radius r refer to the radius of the cylindrical hole or the spherical solid?  And is the round hole drilled all the way through the sphere or just to the center or to some unspecified distance past the center? 

I assume "r" refers to the cylindrical hole.
I assume the hole is all the way through the sphere.
I assume the diameter of the sphere to be 4 cm plus the two rounded bits at each end.

Are these assumptions correct?
  Posted by Larry on 2004-08-21 08:35:55
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