On one episode of Myth busters, Jamie and Adam try to make a lead balloon that will float when filled with helium. The balloon they constructed was approximately cubical in shape, and 10 feet on a side. They used a thin lead foil, which gave the finished balloon a mass of 11 kg.
(a) What was the thickness of the foil?
(b) Would the lead balloon float if filled with helium?
(c) If the balloon does float, what would be the most mass it could lift in addition to its own mass?