Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...
The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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
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 ?