I don't understand why the answer to the homework
question H3 is yes. The question does not ask is two
bottles can have the same volume but a different
shape. The question asks if it is possible to draw
two different figures with the same height-volume
graph. It does not seem possible to me given that the
graph's appearance changes based on the shape of the
bottle. Volume does not seem very relevant to me.
The tip for H3 suggests looking into Cavalieri's
Principle, but when I did, I saw nothing helpful
regarding a height-volume graph. All I saw was that
it is possible for different figures to have the same
volume/area (which I already knew). Does anyone else
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Received on Fri Jun 22 08:52:00 2007