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Volume of an oblique frustum of a right cone.

• To: mathgroup at smc.vnet.net
• Subject: [mg121179] Volume of an oblique frustum of a right cone.
• From: Matthias Bode <lvsaba at hotmail.com>
• Date: Sat, 3 Sep 2011 08:03:37 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hola:

I completely fail to find a function that decribes the emptying of a right 
cone as a function of its inclination.

To illustrate the problem:
We have a right cone (e. g. a common cocktail glass completely filled with 
liquid) with a base angle alpha. When we incline the cone from its upright 
position to ninety degrees minus alpha/2 - then it will be empty - what is 
volume of the remaining liquid inside the cone as a function of the cone's 
inclination from its originally vertical position?
(It's not homework; I'm retired and trying to teach my daughter, 10th g
rade German grammar school, the use of MATHEMATICA.)

Best regards,

MATTHIAS BODE
S 17.35775=B0, W 066.14577=B0
2'740 m
AMSL.