Mathematics Problem Of the Week

Spring 2002

POW #4

 

Six Log Fire

 

The diagram below shows an end view of six logs that have been piled to make a fire.  The three base logs each have a diameter of 16 inches.  The two logs at the middle level each have a diameter of 8 inches.  The top log fits on so that each of the circles just touch each other as shown in the diagram.  What is the diameter of the top log?

 

 

 

 

 

 

 

 

 

Due Friday, February 22nd at Noon.