A sphere has a radius of 5 m. How many 5cm diameter spheres can it contain?

[Power of One]

Homework Statement

A sphere has a radius of 5 m. How many 5cm diameter spheres can it contain?

Homework Equations

Volume of a sphere= 4/3π r^3

The Attempt at a Solution

5m=500 cm

volume of large sphere/ volume of small sphere
4/3π (500)^3/ 4/3π (2.5)^3

=8,000,000 spheres

This answer doesn't seem reasonable. What am I doing wrong?​

 

[saunderson]

You assume that the 5cm diameter spheres are deformable!

Ever heard about close-packing of spheres :

http://en.wikipedia.org/wiki/Close-packing​

with best regards