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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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    Simon Barker:

    I'm not sure what it means for a hole to have domed ends.  What's the shape of something that isn't there?


    What a fascinating question and solution!


    My mistake was to think of the core which has been removed, but evidently, the drill would have to have a cutting capacity longer than 6".


    Concerning Mike's point about Oxford and Cambridge entry, I think that they barely relied at all on A-levels in my day. After all, with 4th term entry, A-levels were two terms away.


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  • 0
    Simon Barker:

    I'm not sure what it means for a hole to have domed ends.  What's the shape of something that isn't there?


    What a fascinating question and solution!


    My mistake was to think of the core which has been removed, but evidently, the drill would have to have a cutting capacity longer than 6".


    Concerning Mike's point about Oxford and Cambridge entry, I think that they barely relied at all on A-levels in my day. After all, with 4th term entry, A-levels were two terms away.


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