Step 1: Analyze the reactions.
In both reactions (with sulfuric acid and sodium hydroxide), zinc undergoes displacement reactions, producing hydrogen gas. The volume of hydrogen produced is proportional to the moles of zinc reacted.
Step 2: Conclusion.
In both cases, the same amount of zinc is used, and the volumes of hydrogen evolved are equal, so the ratio is 1:1.
Final Answer:
\[
\boxed{1:1}
\]