The sphere that extends from Earth's core to the crust is called the mantle.

Here's a breakdown:

* Core: The innermost layer of the Earth, composed mostly of iron and nickel.

* Mantle: The thickest layer of the Earth, located between the core and the crust. It's primarily composed of silicate minerals.

* Crust: The outermost layer of the Earth, relatively thin and composed of various rocks.

The mantle is a very dynamic layer, and its movement drives plate tectonics and volcanic activity.