Question

A block of silver displaces 200 ml of water in a measuring cylinder. If the density of silver is 10300 kg/$m^3$, find the mass of block.

Answer 1

Step 1, Given data

Block displaces 200 ml of water.

Density of silver = 10300 kg/$m^3$

Step 2, Finding the mass of the block

We know,

According to Archimedes’ principle, The volume of displaced fluid is equivalent to the volume of an object fully immersed in a fluid.

So, the volume of the block = 200 ml = 0.2 L = $\frac{0.2}{1000}=0.0002m^3$

Now we know,

$Mass=Density\times Volume$

Putting all the values

$Mass=\text{10300}\times 0.0002=2.06kg$

Hence the mass of the silver block is 2.06 kg.