Question

A cylindrical container of radius 28 m and height 24 m is full of water. The water is emptied into a dry swimming pool of length 100 m and breadth 28 m. Find the rise of water level in the swimming pool.

• A. 28.56 m
• B. 21.12 m
• C. 42. 24 m
• D. None of these

Answer 1

The correct option is B

21.12 m

Let the height of swimming pool be x

We can equate the volume of the cylindrical container with the rectangular swimming pool

$\pi \times r^2\times h=lbh$

$\Rightarrow \frac{22}{7}\times (28{)}^2\times 24=100\times 28\times x$

$\Rightarrow$ x = 21.12 m