My canon injeti560 printer prints color but not black,and the black ink is full,what to do

The manufacturers removed the option long time ago due to the printheads and muzzles which get screwed up while printing with one or more empty cartridges. here are some explanations and tutorials on how to actually print with an empty cartridge:
How to print without black ink

Yes the colors are mixed with the black for different shades of black when printing.

no because the printer will state you are out of color ink and will stop your printer right away

Did you try to wipe the cartridge.Maybe there's a clogs. inside.

canon MP 150 Series printer usB001
The waste ink absorber is full

Remove the printer from control panel, under installed printers, then unplug the usb cable and reinstall the printer drivers using printer cd, or download from canon support website.

A part solution is print/properties/maintenance/ink cartridge settings/select black only.

You do initially have to buy another color cartridge but you won'thave to buy another expensive color cartridge again in the future.

I

To print without color ink go to START>control panel>PRINTERS & OTHER HARDWARES>PRINTERS & FAXES>Right click to your printer>PROPERTIES>MAINTAINANCE>INK CARTRIDGE SETTING>then select BLACK ONLY.
I think it fix your problem.

i have an mp170 all in one and when you fill the cartriges they dont show up as full cannon put a chip in the cartridge to con people into buying new ones try siting the cartridges in warm water for a few hours then blot the cartridge with tisue paper if it dont blot out the ink the cartride is finnished and you need a new one .To align the cartridge you flick through the menu on the printer not pc screen look for alignment page print this off then you have to pick the dark boxes on the sheet shade the bit next to it and put on your scan bed and click ok it should scan the sheet and reset the alignment

Have you performed a nozzle test? If one or more of the colors is missing when you do the nozzle test, the printhead itself is likely in need of replacement.

Before considering replacment, perform a clean on the printer. Due to variations between mac and pc, please see your documentation / support files on how to perform the clean on your printer.

After performing the clean, again perform the nozzle check to see if the problem is resolved.

If still not resolved, remove and re-install any cartridges you recently replaced to make certain they are installed correctly.