top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

Unit sphere is on a flat plane in rain. What is the length of largest cube that can hide underneath it and not get wet?

0 votes
101 views

A unit sphere (radius = 1) is out on a flat plane in the rain. Find the side length of the largest cube that can hide underneath it and not get wet.

A unit sphere is out on a flat plane in the rain. Find the side length of the largest cube that can hide underneath it and not get wet.

posted May 3, 2018 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

1-1/sqrt(2)


See picture for details.
x- the required value
r- is the radius of sphere=1
it is obvious the distance AO=sqrt(2) as sides of the large square = r=1
AC=AO-r=sqrt(2)-1
AC=x*sqrt(2) => x=AC/sqrt(2)=(sqrt(2)-1)/sqrt(2)=1-1/sqrt(2)
x=1-1/sqrt(2)


enter image description here

answer Sep 23, 2018 by Hanifa Mammadov



Similar Puzzles
0 votes

A cube is sliced into halves in such a way that the cut is a regular hexagon. What is the angle (in degrees) between the plane of the cut and the base of the cube?
enter image description here

+1 vote

What is the side length of the smallest regular hexagon that can pack 6 circles of unit length in the given way?
enter image description here

0 votes

A line segment of length 2 moves in the xy-plane such that it always touches both the coordinate axes (see the image below). Find the area of the region swept out by the line segment.

enter image description here

0 votes

You cannot tear the napkins but you can fold them or overlap them, and the napkins are allowed to drape over the side of the table.

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...