Compare the amount of water displaced by-block of aluminium and block of lead

cbse
floatation

#1

A 200 g solid block of aluminium [density Al= 2.70 g ${{cc}^{-1}}$] is placed in a beaker of water. The same is done in another beaker with a 200 g solid block of lead (density of lead = 11.3 g ${{cc}^{-1}}$. Compare the amount of water displaced by-block of aluminium and block of lead.


#2

Since, density = mass/ Volume
Given block of aluminium has mass , m = 200 g
and density = 2.70 g ${{cc}^{-1}}$
Volume of Al block = m/density = 200/2.70 = 74.07 cc
Block of lead has mass = 200 g
density = 11.3 g ${{cc}^{-1}}$
Volume of Pb block = m / density = 200/11.3 = 17.6 cc
Since, is greater, so aluminium experiences larger upward force by water. Therefore, it displaces more water as compared to lead block.