First slide

Fluid statics

Question

A metal block having an internal cavity weight 110 g in air and 80 g in water. If the density of metal is 5.5 g/cc, then the volume of cavity is:

Moderate

A

30 cc
B

20 cc
C

10 cc
D

5 cc

Solution

Weight of block in air = 110 g
Weight of block in water = 80 g
Loss of weight in water = 110 - 80 = 30 g
This is equal to weight of water displaced; so volume of water displaced = 30 cc (which is the apparent volume of block)
Real volume of the material of block = $\frac{110}{5.5} = 20 cc$
$∴ Volume of cavity = 30 cc - 20 cc = 10 cc$

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