A cylinder, semicircular in cross-section, 10.0 m long and 5.00 m in radius, is completely submerged in water. What is the buoyant force on the cylinder? A) 1.92 × 10⁶ N B) 3.85 × 10⁶ N C) 5.78 × 10⁶ N D) 6.28 × 10⁶ N E) 7.70 × 10⁶ N

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Quizplus · Accepted Answer

The buoyant force is equal to the weight of the displaced water. The volume of the cylinder is (1/2)πr²L = (1/2)π(5.00 m)²(10.0 m). The density of water is 1000 kg/m³, and g = 9.81 m/s². Calculating gives the buoyant force as approximately 3.85 × 10⁶ N.

A Cylinder, Semicircular in Cross-Section, 10