Spheres on Cube Vertices

Calculus Level 3

A cube of side length 10 10 has its center on the origin. Each one of the cube's 8 8 vertices coincides with the center of a sphere of radius 10 10 . There are thus 8 8 separate spheres.

What is the volume of the region which lies inside the cube and within all 8 8 spheres simultaneously?

Note: This was inspired by a question from J. P. C. M.


The answer is 15.202.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...