Question

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

• A. $1\frac{1}{3}$ cm
• B. $2\frac{1}{3}$ cm
• C. $3\frac{1}{3}$ cm
• D. $4\frac{1}{3}$ cm

Answer 1

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

cylindrical container's diameter=42 cm
radius=21cm
rectangular solid of iron's dimensions =22cm*14cm*10.5cm
volume of rise in the level of the water of cylindrical container=volume of rectangular solid
$\Pi r^{2}h=l\ast b\ast h$
$\Pi {21}^{2}h=22\ast 14\ast 10.5$
$h=2.33$