A cylinderical tank of height 0.4 m is open at the top and has a diameter 0.16m. Water is filled in it up to height of 0.16 m. Find the time taken to empty the tank through a hole of radius `5 xx 10^(-3)m` in its bottom.

Explanation

To find the time taken to empty the cylindrical tank through a hole at the bottom, we can follow these steps:

### Step 1: Determine the parameters
- Height of the tank (H) = 0.4 m
- Diameter of the tank (D) = 0.16 m
- Radius of the tank (R) = D/2 = 0.08 m
- Height of water in the tank (h) = 0.16 m
- Radius of the hole (r) = 5 x 10^(-3) m
...