the bodies of some fish contain porous bones or air-filled swinbladder that decr

Question

the bodies of some fish contain porous bones or air-filled swinbladder that decrease their average density and allow them to floatin water without an expenditure of energy. The body of thecuttlefish, for example, contains a porous bone that has a densityof 0.62 g/cm^3. The rest of its body has a density of 1.067 g/cm^3.We can find the percentage of the body volume X occupied by theporous bone that makes the average density of the fish be the sameas the density of the sea water (1.026 g/cm^3)
Find the percentage of the volume X occupied by the porousbone???

Explanation / Answer

mass = density * volume V bone + v flesh = (V+ v) = 1.026 (V + v)     V = volume ofbone     v = volume of flesh V / v = ( - flesh) /(bone - ) = (1.026 - 1.067) / (.62 - 1.026)= .10 V = .1 v V / (V + v) = .1 / (.1 + 1) = .091 = 9.1%      percentage of total volume of fishoccupied by bone

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