The mass of an empty bucket of capacity 20 litres is 1.5 kg. Find the mass of the bucket when completely filled with a liquid of relative density of 0.9.

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Solution

density of liquid = $0.9 \times 1000 k g / m^{3}$
= 900 $k g / m^{3}$
Volume of bucket = 20 litre
= $20 \times 10^{- 3} m^{3}$
= $2 \times 10^{- 2} m^{3}$
mass of water = $900 \times 2 \times 10^{- 2} = 18 k g$
mass of bucket = 20kg
mass = 38kg
Volume = $2 \times 10^{- 2} m^{3}$
density = $\frac{38^{19}}{2 \times 10^{- 2}} \frac{k g}{m^{3}} = 1900 k g / m^{3}$

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