Question

how was wheel invented

Answer 1

The wheel was invented by the ancient Sumerians. They lived in the land between the Tigris and the Euphrates Rivers in the Middle East. ... The concept of the wheel actually grew out of a mechanical device that the Sumerians had invented shortly after 3500 B.C.—the potter's wheel.The wheel started out as a man-made log.  The Sumerians figured out that if they could prop the edge of a heavy crate up onto a long log-shaped object, they would be able to roll the load over the object and move it forward.  They would then place a second log under the front edge of the load and continue rolling it.   Believe it or not, this was the first wheel
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Answer 2

The wheel was 'invented' before writing was 'invented' - so even if someone had taken note of the inventor, we would not know their name.

Just recently (2011), the oldest evidence of the wheel was found.  It was a "toy car" found in Turkey.  Archaeologists believe that artifact is 7,500 years old.  It is believed that the wheel was first used around 12,000 years ago and was 'invented' many times, by different societies that had no contact with each other.

This artifact is interesting because it had been believed that wheels were first used on vehicles (chariots) in about 3500 BC in Mesopotamia.  It was believed that before that they were used by potters as a tool.