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A spherical cherry of radius $R$ is dropped into a glass of the form $z=\left ( x^2+y^2 \right )^2$. Find the maximum $R$ for which the cherry will reach the bottom of the glass.
The answer can be downloaded as a pdf at http://www.calculushumor.co.cc/past-problems.html
This started as a way to express the admins' love of calculus and math in general. As result, this has turned into a gathering place for math-based humor and weekly challenges.
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