I've had a couple of Canon printers myself and wpgwpg is right, every once in a while a cartridge's printhead would clog up. Just on an economy note, both Canon's had the option to deep clean either Black or Colour or All. Since the logo printed in colour, this suggests you need only clean the black.
To eliminate the Inspiron itself as the root of the problem, would it be possible to re-connect the printer to the other computer ? If you still have no black, then it is definitely a printer problem. If it reverts to printing perfectly, then you have a computer problem.
If this test suggests the problem lies with the Inspiron, then fully delete the drivers and use the Revo uninstaller - which you can download from BC - to completely remove any leftover fragments of the drivers and re-install the drivers for the printer. It will be worth your while to check the install sequence with the Quick-Start guide for the printer - printers are notoriously fussy about using the correct install sequence.