A hollow metal sphere of mass $180.6 g$ contains a cavity of volume $2.5 {c m}^{3}$ . This metal when placed in water, displaces $24 c c$ of water. Find the specific gravity of the metal.

21.5 g {c m}^{- 3}

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6.3 g {c m}^{- 3}

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8.4 g {c m}^{- 3}

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24 g {c m}^{- 3}

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Solution

The correct option is C $8.4 g {c m}^{- 3}$
Volume of material in the sphere = 24-2.5cc
= 21.5cc
mass of material = 180.6gm
So density= $\frac{m a s s}{V o l u m e} = \frac{180.6}{21.5}$
density = 8.4 gm/cc

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A hollow metal sphere of mass 180.6g contains a cavity of volume 2.5cm3. This metal when placed in water, displaces 24cc of water. Find the specific gravity of the metal.

The correct option is C 8.4gcm−3Volume of material in the sphere = 24-2.5cc = 21.5ccmass of material = 180.6gmSo density=massVolume=180.621.5 density = 8.4 gm/cc

A hollow metal sphere of mass $180.6 g$ contains a cavity of volume $2.5 {c m}^{3}$ . This metal when placed in water, displaces $24 c c$ of water. Find the specific gravity of the metal.

The correct option is C $8.4 g {c m}^{- 3}$
Volume of material in the sphere = 24-2.5cc
= 21.5cc
mass of material = 180.6gm
So density= $\frac{m a s s}{V o l u m e} = \frac{180.6}{21.5}$
density = 8.4 gm/cc