Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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.

share|improve this question
    
"Spherical wineglass".. how is it meant? can we assume it is a full sphere, or chopped? –  Berci Oct 6 '12 at 8:44
7  
Spherical wineglasses would be rather frustrating, methinks ... –  Peter Smith Oct 6 '12 at 9:13
    
The wineglass is chopped –  D Abbott Oct 6 '12 at 9:16
1  
Perhaps you mean a hemispherical wineglass? –  TonyK Oct 6 '12 at 10:43
1  
What curve are you calling a wineglass? –  Loki Clock Jun 6 '13 at 17:53

1 Answer 1

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 $h$.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.