Art project math help

[elliottbrook]

I am an artist and I would like help to calculate how many size 5 footballs can be filled with 128m³ of air, equivalent to the volume of space inside two large hollow framed cubes. Law 2 of the game specifies that the ball is an air-filled sphere with a circumference of 68-71 cm (27-28 in)
It is for a London 2012 project. Thank you for your help.

 

[mmm4444bot]

A sphere with 70cm circumference has radius 11.1408cm (rounded)

That sphere's volume is 5792.1943cm^3 (rounded)

22,098 times this volume is 127,995,000 cm^3 (rounded)

That's about 128m^3, but (just so you're clear) claiming that 22,098 balls together hold roughly 128m^3 of air is not the same thing as saying that 128m^3 of space will hold 22,098 balls.

If you want to know how many spheres with circumference 70cm will fit in 128m^3 of space, then that's a different question. :cool:

 

[MarkFL]

<southern American drawl> Footballs ain't spherical, y'all! </drawl>

Seriously, this article may be of some help:

http://en.wikipedia.org/wiki/Sphere_packing#Regular_packing

 

[mmm4444bot]

Footballs ain't spherical, y'all!

Lor' luv a duck! Yew 'aven't got da foggiest Scooby Doo, matey.