Question

A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.

Answer 1

Given, side of a cube = 11 cm

∴ Volume of cube= (Side)³

= 11 × 11 × 11 cm³

= 1331 cm³

Given, diameter of cylinder = 28 cm

∴ Radius (r) of cylinder = `28/2` = 14 cm

Volume = 1331 cm³

∴ Rise in water level = `"Volume"/(pir^2)`

= `(1331 xx 7)/(22 xx 14 xx 14) cm`

= `121/56 cm`

= 2.16 cm