Water flows at the rate of 10 meter per minute through a cylindrical pipe having its diameter as 5mm. How much time will it take to fill a conical vessel whose diameter of base is 40cm and depth 24cm?

Explanation

To solve the problem, we need to find out how much time it will take to fill a conical vessel with water flowing through a cylindrical pipe. Here’s a step-by-step solution:

### Step 1: Convert all measurements to the same unit
The diameter of the cylindrical pipe is given as 5 mm, which we convert to centimeters:
- Diameter of the pipe = 5 mm = 0.5 cm
- Radius of the pipe (r_pipe) = Diameter/2 = 0.5 cm / 2 = 0.25 cm

The diameter of the conical vessel is given as 40 cm, and the depth (height) is 24 cm.
...