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A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ?C is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is (A) more than half-filled if ?C is less than 0.5. (B) more than half-filled if ?C is more than 1.0. (C) half-filled if ?C is more than 0.5. (D) less than half-filled if ?C is less than 0.5.

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ?C is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is (A) more than half-filled if ?C is less than 0.5.
(B) more than half-filled if ?C is more than 1.0.
(C) half-filled if ?C is more than 0.5.
(D) less than half-filled if ?C is less than 0.5.

Grade:11

1 Answers

Vikas TU
14149 Points
11 months ago
Let V be the volume of the material of which the cylinder is made. The cylinder is half immersed in water. Therefore the volume of water displaced because of the material of the cylinder is V2. Let h be the total height of the cylinder. As the cylinder is half submerged therefore buoyant force
B=Vρωg/2+hAρωg/2

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