Count curvature before multiplying

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Problem: Count curvature before multiplying
A long cylindrical liquid interface has radius 2.0 mm. A spherical drop of the same liquid has radius 4.0 mm. Each has one liquid–gas interface with the same surface tension. Neglect gravity-induced distortion and cylinder end effects.
Question: What is the spherical pressure jump divided by the cylindrical pressure jump?
Givens:
- Cylinder radius = 2.0 mm
- Sphere radius = 4.0 mm
- One interface each
- Same surface tension
Assumptions: Static or initially equilibrated interfaces, constant uniform surface tension, negligible gravity-induced shape distortion where spherical or cylindrical curvature is specified, and negligible evaporation. Capillary heights use the narrow-tube model with equal gas pressures and a large reservoir.
Choices (LaTeX):
A. 1
B. 2
C. 1/2
D. 4

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.