The correct answer is, what the United States hoped to accomplish with the containment policy was to keep Communism in the Soviet Union.
The United States wanted to keep Communism inside the USSR, and not to be spread outside of the borders of the Soviet Union. The U.S. did not want other countries to receive the influence of Communism. It was a diplomat from the Secretary of State, called George Kennan, that had the idea of a policy of containment.