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A spherical wineglass, known diameter, is brim full of wine. What is the width of any vertical parallel slice with a volume of 1/4 of the wine?

Assume that the height of the wineglass is known.

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    Put a picture, please.2014-06-06

1 Answers 1

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Use the disk (washer) method for the function $f(x):=\sqrt{R^2-x^2}$ on the interval $[x_0,x_0+h]\subset[-R,R]$ to get an equation satisfied by $x_0$ and $h$.