Question

A rectangular tank $28m$ long and $22m$ wide is required to receive entire water from a full cylindrical tank of internal diameter $28m$ and depth $4m$. Find the least height of the tank that will serve the purpose. (Take $\pi =22/7$)

• A. $4.0m$
• B. $4.5m$
• C. $5.0m$
• D. $5.2m$

Answer 1

Answer: (A)

$4.0m$

Volume of water in the rectangular tank will be equal to the volume of water in the cylindrical tank.
Volume of a Cylinder $=\pi R^{2}h$
Radius of the cylindrical tank $=\frac{Diameter}{2}=14m$

Volume of a cuboid $=l\times b\times h$

Hence, $28\times 22\times h=\frac{22}{7}\times {14}^2\times 4$
$h=4m$
Hence, the least height of the tank that will serve the purpose is $4m$.