Question: How much water should be filled in a container 21 cm in height, so that it appears half filled when ...

Question

How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container (given that )

Answer 1

Solution

To see the container half-filled from top, water should be filled up to height $x$ so that bottom of the container should appear to be raised upto height (21–x).

As shown in figure apparent depth $h ^ { \prime } = ( 21 - x )$

Real depth $h = x$

$\mu = \frac { h } { h ^ { \prime } } \Rightarrow \frac { 4 } { 3 } = \frac { x } { 21 - x } \Rightarrow x = 12$ cm