Bending a cylinder towards a cube no matter where the cube is.

I am attempting to bend a cylinder (now attempting to do this with many different cylinders) towards a cube, i am new to this type of stuff and wish to learn how as well. Even if it is a compilation on multiple different cylinders that all slowly bend further down the cylinders you go towards the cube it is fine. I wish to learn as well, its all good if you get a code that works but if you can explain it to me (a beginner) that would be great. :D In summary i would like to get some help on making a cylinder (or compilation of cylinders) bend towards a target object. P.S. if you can make the rotation stronger when you are nearby that would be great. :D