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How Is the Volume of a Spherical Segment Calculated Using Cavalieri's Principle?
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 Volume of half-sphere: 2/3\pir2 Volume of cone inverse to...- navybuttons
- Thread
- Spherical Volume
- Replies: 1
- Forum: Precalculus Mathematics Homework Help
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Graduate What is the volume of a spherical segment using Cavalieri's Principle?
the best i can do so far is to think of a cone with base radius (r-h) and height (h), where the inverse of such cone should be the volume of the spherical segment. but that is incorrect. however, i am pretty sure that this is the right track.- navybuttons
- Post #3
- Forum: Differential Geometry
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Graduate What is the volume of a spherical segment using Cavalieri's Principle?
I have a problem in a math book that says "Use Cavalieri's Principle to find the volume of a spherical segment of one base and thickness h if the radius of the sphere is r." I believe it looks like this: http://img395.imageshack.us/img395/2826/sphere1.jpg how do i solve it?- navybuttons
- Thread
- Spherical Volume
- Replies: 2
- Forum: Differential Geometry