A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions `32 c m\ x\ 22 c m\ x\ 14 c mdot` Find the rise in the level of the water when the solid is completely submerged.

Explanation

Diameter of base of cylindrical vessel, `D = 56 cm`

Radius of base, `R=56/2`=`28cm`

Dimensions of rectangular solid vessel = `32cm × 22cm × 14cm`

Volume of rectangular solid vessel = `32 × 22 × 14` = `9856 cm^3`

Let the rise of water level be `h cm`

Volume of cylindrical container = Volume of rectangular solid vessel

`pir^2h=9856`

`h=(9856xx7)/(22xx28^2)`

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