Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Cola Can

Or search by topic

Age 11 to 14

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

A millilitre is one cubic centimetre.

Check that you can calculate the volume of a cylinder.

If the diameter is 6 cm, you can calculate the base area of the can.

If you know the base area you can find a height which will give you a specific volume ( 330 ml in this case)

Now start with a height (10 cm) and work your way back to a base area for a specified volume, then find a radius for that base area, and hence a diameter for the can.

What does least aluminium require ?

The top and base of the can are circles but how do you calculate the curved surface area ?