Question

A cylinder container with radius $56$ m contains sufficient water to submerge a rectangular solid of iron with dimensions $12m\times 14m\times 10m$. Find the rise in the level of water when solid is completely submerged.

• A. $0.170$ m
• B. $1.170$ m
• C. $0.290$ m
• D. $0.270$ m

Answer 1

The correct option is A $0.170$ m

Volume of cylindrical portion formed by original water level and after increase in water level = Volume of cuboid
Volume of cylinder $=\pi r^{2}h$
Volume of cuboid $=l\times b\times h$
$\pi r^{2}h=12m\times 14m\times 10m$
$\frac{22}{7}\times 56\times 56\times h=12\times 14\times 10$
$h=(12\times 14\times 10\times 7)/22\times 56\times 56=0.170m$
Hence, the required increase in water level is $0.170m$