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Fluid Mechanics

Centre of Buoyancy

A symmetrical...

Question

A symmetrical right-circular cone of wood floats in fresh water with axis vertical and the apex down. The axial height of the cone is 1 unit. The submerged portion has a height h, measured upwards from the apex. What would be the height of the centre of buoyancy from the apex?

A

\frac{h}{2}

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B

\frac{5}{8} h

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C

\frac{2}{3} h

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D

\frac{3}{4} h

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Solution

The correct option is D $\frac{3}{4} h$

The centre of buoyancy from the water surface is h/4. So centre of buoyancy from apex is 3h/4.

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