A large block of ice cuboid of height `'l'` and density `rho_(ice) = 0.9 rho_(w')` has a large vertical hole along its axis. This block is floating in a lake. Find out the length of the rope required to raise a bucket of water through the hole.

Explanation

Let area of ice-cuboid excluding hole `= A`
weight of ice block `=` weight of liquid displaced `Arho_(ice)lg = Arho_(w) (l - h) g`
`(9l)/(10) = l - h rArr h = l - (9l)/(10) = ((l)/(10))`