Rainwater, which falls on a flat rectangular rooftop of dimensions `22 m` by `10 m`, is transferred into a cylindrical vessel of internal radius `50 cm` through a circular pipe. A certain day recorded a rainfall of `2.5 cm.` Find the
(i) volume and
(ii) height of the water, filled in the cylindrical vessel.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the volume of rainwater collected on the rooftop.

The volume of rainwater can be calculated using the formula for the volume of a rectangular prism (which is the rooftop in this case):

\[
\text{Volume} = \text{Area of the rooftop} \times \text{Height of rainfall}
...