You may also like

problem icon

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 icon

Tin Tight

What's the most efficient proportion for a 1 litre tin of paint?

problem icon

Cola Can

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

Tubular Stand

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The corners of the stand have to be considered and this means that each individual section is not a cylinder. However a little careful manipulation will reveal that the problem is far from insurmountable.

For the generalisation it might help to reduce the number of variables you work with to two at a time...

What is the relationship between the length and the volume if the radius is fixed?

Is there a way you can represent the relationship without just trying to describe it in words?