The rain water that falls on a roof of area `6160\ m^2` is collected in a cylindrical tank of diameter 14m and height 10m and thus the tank is completely filled. Find the height of rain water on the roof.

Explanation

To solve the problem step by step, we will use the relationship between the volume of rainwater collected from the roof and the volume of the cylindrical tank.

### Step 1: Calculate the volume of the cylindrical tank
The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
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