There are a several ways you could handle this. One way would be to copy the void shape inside the solid like I told you to do for the screwdriver handle and then cut all the openings in one step with Subtract or Trim. Another would be to draw only one sector of the pulley with a single opening and copy/rotate it around to make the rest of the pulley. A third way would be to create the first opening, select its geometry and rotate/copy it around. Then use Intersect Faces to intersect the opening geometry with the faces on the pulley and erase the skinning faces. I’d choose the first option if I was doing it.
There appear to be some dimensions missing on the cross section of the pulley.