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Funnel
Age 14 to 16
Challenge Level 
As an example of how you might begin, take one litre as the volume.
How many cubic centimetres is that ?
If the radius was 1 cm, 2 cm, 3 cm, etc. what would the height
be each time ?
And how long would the 'slope length' be in each case ?
How do you calculate the curved surface area using those things ?
When was the curved surface area least ?
Can you refine your answer with more precise values tried for the radius length ?
Could a spreadsheet help with the repeated calculation ?You may also like
Concrete Calculation
The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. How many cubic metres of ready-mix concrete should the builders order to fill this hole to make the concrete raft for the foundations?
In a Spin
What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?