Answer :
A low cloud that blankets the sky and often generates precipitation is called a nimbostratus cloud!
Nimbostratus cloud is the right answer.
A nimbostratus cloud is a profound, often dark, grey, amorphous, nearly identical cloud that ordinarily creates constant rainfall, storm or snow and no thunder and lightning. Though the nimbostratus is a low-level cloud, it generally forms in the middle level of the troposphere. And such clouds usually provide rainfall over an extensive area.