Surface Area to Volume Ratio for a Cylinder

Steps:

• Volume V = π r² h = π (2 cm)² (5 cm) = 20π cm³.
• Lateral surface area = 2π r h = 2π (2 cm)(5 cm) = 20π cm².
• Two end areas = 2π r² = 2π (2 cm)² = 8π cm².
• Total surface area = 20π cm² + 8π cm² = 28π cm²; ratio = 28π / 20π = 1.4:1.

Why C is correct:

• 1.4:1 equals total surface area (lateral plus ends) divided by volume, standard for enclosed cylindrical volumes in diffusion experiments.

Why the others are wrong:

• A. 0.7:1 halves the correct ratio, likely from using half the end areas.
• B. 1.0:1 uses only lateral surface area, excluding ends.
• D. 2.5:1 overestimates, possibly from using diameter instead of radius.

Final answer: C