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.
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.
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 $h$.