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#1 2014-10-29 10:47:41
- SolarDevil
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- Registered: 2014-09-14
- Posts: 37
Interesting Geo Problem
Polyhedron P is inscribed in a sphere of radius 36 (meaning that all vertices of P lie on the sphere surface). What is the least upper bound on the ratio
volume of P / surface area of P
In other words, what is the smallest real number t such that
volume of P/ surface area of P is less than or equal to t
must be true for all polyhedra P that can be inscribed in a sphere of radius 36?
Herro! Sycamore School will win National Science Bowl this year!!! 
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#2 2014-10-30 09:20:08
- SolarDevil
- Member
- Registered: 2014-09-14
- Posts: 37
Re: Interesting Geo Problem
Nevermind! I got it! For those wondering, you just find the ratios of a sphere because as you get more faces it becomes more like a sphere!
Solar
Herro! Sycamore School will win National Science Bowl this year!!!
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