SYDNEY—Elon Musk’s satellite venture has launched a free high-speed internet service to connect remote villages in Tonga that have been cut off since a devastating volcanic eruption and tsunami in January. Tonga’s prime minister, Siaosi Sovaleni, said in a ceremony on Wednesday in the capital, Nuku’alofa, that 50 VSAT terminals provided free of charge by Musk’s SpaceX would be distributed to the outlying islands worst hit by the tsunami. “It is rather paradoxical for a devastating volcanic eruption and tsunami to bring to our shores the latest in satellite and communications technology,” he said in a speech broadcast by Tonga Broadcasting Commission. “Elon Musk probably didn’t know much about Tonga until January 15, but gave generously.” The service will remain in place and free until a submarine cable connecting the outlying islands with Tonga’s main island Tongatapu is repaired. The international cable connecting Tonga to Fiji was restored on Tuesday, …