Pressure added by a water column

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Problem: Pressure added by a water column
A sensor lies 3 m below a water surface open to air. Water density is 1000 kg/m³.
Question: Find the gauge pressure.
Givens:
- ρ = 1000 kg/m³
- h = 3 m
Assumptions: Water at rest; uniform density 1000 kg/m³; g = 10 m/s²; pressure requested relative to atmospheric pressure.
Choices (LaTeX):
A. 3000\ \mathrm{Pa}
B. 1.3\times10^5\ \mathrm{Pa}
C. 10000\ \mathrm{Pa}
D. 3.0\times10^4\ \mathrm{Pa}

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.