Question

Water has to be transferred from a rectangular container with dimensions $4m\times 9m\times 10m$ into a cylindrical container that has a diameter of $6$ meters. Calculate the height of the cylinder to hold all the water from the rectangular container.

• A. $40\pi$
• B. $\frac{40}{\pi }$
• C. $60\pi$
• D. $\frac{120}{\pi }$

Answer 1

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

Since the volume of water doesn't change, we equate the two volumes.

$4\times 9\times 10=360m^3$, which gives the volume of the rectangular container.

Since the diameter of the cylinder is $6$ m, the radius would be $3$ m.

Volume $=\pi \times r^2\times h=\pi \times 9\times h$ where $h$ is the height of the cylinder.

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

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