Cholesterol (C27H46O) has the following structure: In such shorthand structures, each point where lines meet represents a carbon atom and most H atoms are not shown. All carbon atoms will have the octet rule satisfied.
Indicate which carbon atoms use sp2 hybrid orbitals.

Indicate which carbon atoms use sp3 hybrid orbitals.

Are all carbon atoms in the same plane, as implied by the structure? Explain your reasoning.