Step 1: Know the structure
Glycerol is \(\text{HOCH}_2-\text{CH(OH)}-\text{CH}_2\text{OH}\). It has a chain of 3 carbons and one OH on each carbon.
Step 2: Choose the parent chain
Three carbons with only single bonds give propane. The suffix for an alcohol is "-ol".
Step 3: Count the OH groups
There are three OH groups, so we use the prefix "tri" and the suffix "-triol". Their positions are on C1, C2 and C3.
Step 4: Name and check
The name is propane-1,2,3-triol. Option (A) has only 2 OH groups, option (B) has 2 OH groups at C1 and C3, and option (D) uses "propene", which would need a double bond that glycerol does not have.
Final Answer:
Glycerol is propane-1,2,3-triol. This is option (C).
\[ \boxed{\text{(C) }\text{Propane-1,2,3-triol}} \]