Question

A slab of ice $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified in the form of a rod of $8$ inches diameter. The length of such a rod, in inches will be _____ inches.

• A. $3$
• B. $3.5$
• C. $4$
• D. $4.5$

Answer 1

The correct option is B $3.5$

Volume will remain the same after melting.
Volume of cuboid $=$ Volume of rod (cylinder)
Therefore $8\times 11\times 2=\frac{22}{7}\times 4^2\times h$
$\Rightarrow h=8\times 7\times \frac{2}{32}=\frac{7}{2}=3.5$ inches

Hence, option $B$ is correct.