Final answer:
Using this information, we can calculate that the fossilized tree is approximately 2 half-lives old, which equals to approximately 11,460 years. The volcanic eruption took place approximately 11,460 years ago.
Step-by-step explanation:
The volcanic eruption took place approximately 11,460 years ago.
By comparing the amount of carbon-14 found in a fossilized tree with the amount of carbon-14 in a living tree of the same size, scientists can determine the age of the fossil.
The half-life of carbon-14 is 5,730 years, so if the fossilized tree had 6.25% of the amount of carbon-14 found in the living tree, it means that 93.75% of the carbon-14 had decayed.
Using this information, we can calculate that the fossilized tree is approximately 2 half-lives old, which equals to approximately 11,460 years.