Hot spots are not found at specific depths. They are plumes of unusually hot mantle rock that rise from deep within the Earth's mantle, potentially from the core-mantle boundary.

Here's why it's difficult to assign a depth:

* Origin: Hot spots are thought to originate from the lower mantle, which starts at a depth of about 660 kilometers (410 miles). However, some theories suggest they could originate even deeper, possibly from the Earth's core.

* Dynamic System: The Earth's mantle is a dynamic system where hot spots can move, change shape, and even disappear.

* Volcanic Activity: Hot spots are most commonly known for their association with volcanic activity, particularly the formation of volcanic islands like Hawaii. The depth at which the magma erupts at the surface depends on the specific location and the geological processes involved.

Therefore, it's more accurate to say that hot spots are found within the mantle, potentially extending from depths of hundreds of kilometers to thousands of kilometers. Their exact depth and the mechanism of their origin are still areas of active research and debate in geology.