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Puzzling

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The "e" in apple

I cut a thin slice from a spherical apple, cutting along a plane.

Thin slice cut from apple

Then I realized, there is an "e" in apple.

Why is there an "e" in apple?

Hint:

It doesn't have to be an apple. It just has to be a spherical solid object from which a thin slice can be cut. An apple is a good choice because it has two colors (red and yellow), making the explanation a bit easier.

OK, time to drop another hint:

Consider the four quantities:

r = red surface area of the small piece
y = yellow surface area of the small piece
R = red surface area of the big piece
Y = yellow surface area of the big piece

Find a limit expression with these four quantities that equals Euler's number, e.

Answer*

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2
  • 1
    $\begingroup$ Not quite. What is e in mathematics? $\endgroup$
    Dan
    –  Dan
    2025-10-12 04:26:14 +00:00
    Commented 2 days ago
  • 1
    $\begingroup$ Your answer does not consider that it has to be a spherical solid object. $\endgroup$
    infinitezero
    –  infinitezero
    2025-10-12 06:55:22 +00:00
    Commented 2 days ago

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