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Σάββατο 9 Μαρτίου 2024
Half Full or Half Empty?
Consider the cup defined by the equation
z
=
x
2
+
y
2
with z between
0
and
4
[see figure below].
The cup is filled with water and slowly tipped. To the nearest degree, at what angle of tilt will half of the water be left in the cup?
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