Gee,

I don't think those tasks are seen by that manager of yours as specifically being female, but for support staff only.  And most support staff may be female.

The person who orders our office supplies happens to be female and she is happy to carry things around (we have a little truck on wheels for anything heavy).  For anything that is very heavy, we commandeer any man who happens to be passing or standing still near us - including Directors.  No-one ever refuses, probably because they've been house-trained.  Mind you, my company is relatively small and we have no time for egos.  Egos have to stay outside or are hung up with the coats.