if the mine winch drum is 6m, calculate how far the cage will drop for each single rotation?

Answer 1

it should be
Circumference = 2πr or Circumference = πd, where d is the diameter

You have that!!!
C = π(6) = appr 18.85 cm

*check it by yourself* idk the final answer cuz i dont have book

Answer 2

the diameter is 6m, not 6cm