Question

A rectangular container with dimensions $4$ inches by $9$ inches by $10$ inches is fully filled with water. Now, if we empty this rectangular container's content in a cylindrical vessel of diameter $6$ inches without any spillage, then the height of water attained in cylindrical vessel will be

• A. $\frac{40}{\pi }$
• B. $\frac{60}{\pi }$
• C. $24$
• D. $30$

Answer 1

The correct option is A $\frac{40}{\pi }$

Since there is no water spillage, the volume of water in both the vessels remains constant.

Thus, volume of water in rectangular container $=$ length $\times$ breadth $\times$ height $=4\times 9\times 10=360$ cubic inch

The cylindrical volume $=\pi r^{2}h$

$\therefore 360=\pi \times 9\times h$

$\therefore h=\frac{40}{\pi }$ inch