Use Cavalieri's Principle to find the volume of a spherical segment of one base and thinckness h if the radius of the sphere is r.
Volume of half-sphere: 2/3[tex]\pi[/tex]r2
Volume of cone inverse to half-sphere: 1/3 [tex]\pi[/tex]r2
The Attempt at a Solution
I've been working this for the last three days and can't see how the answer is derived. The best I've been able to do is work out a cone with height and radius [tex]\alpha[/tex] where [tex]\alpha[/tex]= r-h
But I haven't had any success this way, and question its usefulness.
If need be, I can post what the answer is supposed to be, I'm just interested in how its derived.
Last edited by a moderator: