- #1

navybuttons

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## Homework Statement

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*.

## Homework Equations

http://img395.imageshack.us/img395/2826/sphere1.jpg [Broken]

Volume of half-sphere: 2/3[tex]\pi[/tex]r

^{2}

Volume of cone inverse to half-sphere: 1/3 [tex]\pi[/tex]r

^{2}

## 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.

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