By Arshad Mohammed and Phil Stewart WASHINGTON (Reuters) - The United States rushed assistance to the Philippines after a typhoon killed at least 10,000 people and will provide additional aid if it is needed, President Barack Obama said on Sunday. Obama said America "is already providing significant humanitarian assistance and we stand ready to further assist the (Philippines) government's relief and recovery efforts." "Our thoughts and prayers go out to the millions of people affected by this devastating storm," Obama said in a statement. The U.S. Agency for International Development is sending supplies, including emergency shelter and hygiene materials, to help 10,000 families.