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Jaseca · 11-16-2003, 09:26 AM

A hemispherical bubble is placed on a spherical bubble of radius 1. A smaller hemisperical bubble is placed on the first one. This process continues until n bubbles have been used. Prove that the maximum height of any bubble tower with n bubbles is 1 + n^1/2

I"ve been working on this for a couple hours and have no idea.

11-16-2003, 09:26 AM	#1 (permalink)
Jaseca Tilted	Calc question... A hemispherical bubble is placed on a spherical bubble of radius 1. A smaller hemisperical bubble is placed on the first one. This process continues until n bubbles have been used. Prove that the maximum height of any bubble tower with n bubbles is 1 + n^1/2 I"ve been working on this for a couple hours and have no idea.