+1 vote
in Fluid Mechanics by (118k points)
A solid cylinder of diameter 4.5 has a height of 2.5 metres. Find the meta-centric height of the cylinder when it is floating in water with its axis vertical. The sp. gr. of the cylinder=0.45.

(a) 1.9 m

(b) 3.8 m

(c) 5.7 m

(d) .95 m

The question was posed to me in my homework.

This key question is from Metacentre and Metacentric Height topic in portion Buoyancy and Floatation of Fluid Mechanics

1 Answer

+2 votes
by (362k points)
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Best answer
Right answer is (a) 1.9 m

To explain: BG= Centre of pontoon – Centre of immersed portion=1.25-0.45*2.5=0.125

                     Metacentric height=I/∀ -BG

                     I=π*r⁴

                     ∀= π*r*r*h

                     Metacentric height=1.9 m.

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