Step 1: Understanding the Concept:
Hydrologic sizing of detention structures with conduit spillways requires flood routing through temporary storage capacity.
Key Formula or Approach:
\[ I - O = \frac{dS}{dt} \quad \text{(Hydrologic Storage Routing Equation)} \]
Step 2: Detailed Explanation:
A drop inlet (pipe spillway) structure acts in conjunction with an earthen embankment to provide temporary flood detention storage.
Sizing the riser crest, barrel conduit, and emergency spillway requires flood routing:
1. Peak Rate of Runoff (\(Q_p\)): Determines maximum emergency spillway capacity.
2. Inflow Hydrograph (\(I(t)\)): Provides the total flood volume and time distribution necessary to calculate temporary stage-storage surcharge and conduit discharge attenuation.
Therefore, both parameters are essential.
Step 3: Final Answer:
Thus, the design requires Both peak rate of runoff expected and the inflow hydrograph, matching option (D).