**Impossible Puzzles**

*Puzzles on this Page: *

The Impossible Puzzle

The Sphere minus Cylinder

This is quite an old problem sometimes called the Impossible Puzzle because on first sight, it looks like there is not enough information provided to solve it. But it is solvable, by using clear logical thinking and simple arithmetic. However, the required clear and logical thinking often gets muddled!

Here is the problem;

Individually:

No further information is shared before the pair have the following conversation;

What are the numbers A and B?

Does not seem to be a lot to be going on with but give it a start and see how you get on. Try starting with each comment in turn, take your time and see what you can glean from each statement!

This is probably one of the most difficult problems in the A Hen and a Half book and the comprehensive and sometimes complex solution aspects are detailed step by step in the book (over many pages) with additional insight provided in the

It is just too long to provide all of that information here, so, if you are interested, go get the

The following problem also on first sight appears to be impossible to solve as there does not appear to be enough information provided to allow a solution to be found.

What is the solid volume left in the remnants of the sphere?

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