Question

A cylinder container with diameter of base $42$ cm contains sufficient water to submerge a rectangular solid of iron with dimensions $22$ cm $\times 14$ cm $\times 10.5$ cm. Find the rise in the level of the water when the solid is submerged.

• A. $2\frac{1}{2}$ cm
• B. $2\frac{1}{3}$ cm
• C. $2\frac{1}{9}$ cm
• D. $2\frac{1}{7}$ cm

Answer 1

The correct option is B $2\frac{1}{3}$ cm

Cylindrical container's diameter $=42$ cm
Radius $=21$ cm
Rectangular solid of iron's dimensions $=22$ cm $\times 14$ cm $\times 10.5$ cm
Volume of rise in the level of the water of cylindrical container $=$ Volume of rectangular solid
$\therefore \pi r^{2}h=l\times b\times h$
$\therefore \pi (21{)}^{2}h=22\times 14\times 10.5$
$\therefore h=2.33=1\frac{2}{3}$ cm