Question

What earth sphere extends from earth's core to earth surface?

Answer 1

The geosphere extends from earth's core to earth surface.

Answer 2

The earth is divided into "spheres", each with its own properties and characteristics. The sphere containing all of the solid ground and layers of the earth is known as the lithosphere (or geosphere). 
Other spheres of the earth are the hydrosphere, the cryosphere, and the atmosphere.