Add new comment


I first saw his puzzle over 25 years ago when it concerned a mouse eating his way through a ball of cheese. I remember the date as I put the puzzle to my then future wife on St Valentine's day over a romantic(!) dinner date. Bemused, she allowed me to solve it on my napkin using integral of pi y squared dx.

But leaving that aside. Since you're not told of the diameter of the hole it can make no difference, so take the diameter as 0. You then have a sphere of radius 1cm whose volume will be 4/3 pi r cubed, (4.pi)/3.

As I said to her at the time: QED

Roy Lambert

Filtered HTML

  • Web page addresses and email addresses turn into links automatically.
  • Allowed HTML tags: <a href hreflang> <em> <strong> <cite> <code> <ul type> <ol start type> <li> <dl> <dt> <dd>
  • Lines and paragraphs break automatically.
  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

  • What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.

  • Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!

  • How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

  • Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.

  • PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.