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.
How much peel does an apple have?
But differentiation is not really Stage 4 mathematics, though
very close, so we don't use it in solutions because that would be
unfair to students who haven't seen the idea before, it would be
like suddenly changing into a language you haven't had a chance to
the height, which will be determined by our choice of radius, so
that we get the chosen target volume
the slant length, which we'll find using r and h and
and the surface area, for which there's a great little
Incidentally, if you don't know where that surface area formula
comes from it may be good to take a moment to look at that. Flatten
the curved surface out to get a sector (how do you know it's a
sector ?). The radius will be the cone's slant length, so you can
calculate the area of the whole circle. To know the proportion that
the sector is of that circle compare the sector arc, which is the
cone's base circumference, with the circumference of this new
circle, radius s.
Can you see what each column does ? Click on a cell and check