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

Options

A. `4`cm
B. `8`cm
C. `2`cm
D. `14`cm

Answer

A

Explanation

Let the rise in level be x cm. Then,
volume of cylinder with base radius 28 cm and height x cm
= volume of iron solid
`:. (22)/(7) xx 28 xx 28 xx x = 32 xx 22 xx 14 rArr x = 4 cm`