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I have drilled a hole.........

AncientMariner
Well, I did not drill it, but about 50 years ago a colleague produced this question from his book:


"A cylindrical hole six inches long has been drilled straight through the centre of a solid sphere. What is the volume remaining in the sphere?"

Enjoy!

Clive
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    If the hole is truly cylindrical, as opposed to having domed ends, then it is infinitesimally thin. So the volume remaining is that of a sphere of a 3" radius i.e. 113 and a bit cubic inches.
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    If the hole is truly cylindrical, as opposed to having domed ends, then it is infinitesimally thin. So the volume remaining is that of a sphere of a 3" radius i.e. 113 and a bit cubic inches.
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