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

the diameter is 6m, not 6cm

To calculate the distance the cage will drop for each single rotation of the mine winch drum, you need to know the circumference of the drum. The formula to calculate the circumference of a circle is:

Circumference = 2 * π * radius

In this case, since the drum is a circle, the radius will be half of the diameter. So, if the drum has a diameter of 6 meters, the radius will be half of that, which is 3 meters.

Now, you can calculate the circumference of the drum:

Circumference = 2 * π * 3

Next, you need to know how many rotations the drum makes in order to lower the cage. Let's assume that for each lowering operation, the drum makes only one full rotation.

Therefore, the distance the cage will drop for each single rotation of the mine winch drum will be equal to the circumference of the drum.

Distance dropped per rotation = Circumference of drum

Substituting the value of the circumference:

Distance dropped per rotation = 2 * π * 3

So, the cage will drop approximately 18.85 meters for each single rotation of the mine winch drum.

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