All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Sphere Cube (Posted on 2004-02-09) Difficulty: 2 of 5
You may find this problem similar.

In a cube of side 4, I pack eight spheres of unit radius.

What is the largest sphere I can place in the center (such that it doesn't overlap any of the other spheres)?

See The Solution Submitted by SilverKnight    
Rating: 3.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Stumbling merrily away | Comment 5 of 16 |
I think i've stumbled on another more simple method of calculating the radius of the smaller circle firstly work out the length of the line that connects two diagonal corners, then divide this by 4 (centres of the circles intersect this line into quarters), then subtract 1 (initial radius unit)

(4^2)*3 = 48
Sqroot 48 = 6.9282032302755
6.9282032302755/4 = 1.7320508075688772
1.7320508075688772 - 1 = 0.7320508075688772

  Posted by Phil on 2004-02-09 19:12:09
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information