problem

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### Efficient cutting

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

problem

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### Gutter

Manufacturers need to minimise the amount of material used to make
their product. What is the best cross-section for a gutter?

problem

Favourite

### Fill Me Up Too

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?