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.
An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
What shape would fit your pens and pencils best? How can you make it?
An aluminium can contains 330 ml of cola. If the can's diameter is
6 cm what is the can's height?
What's the most efficient proportion for a 1 litre tin of paint?
If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?
Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.