A water flows through a cylindrical pipe, whose inner radius is 1 cm, at the rate of `80 cm^(-1)` in an empty cylindrical tank, the radius of whose base is 40 cm. What is the rise of water level in tank in half an hour?

Explanation

To solve the problem of finding the rise of water level in a cylindrical tank when water flows through a cylindrical pipe, we can follow these steps:

### Step 1: Calculate the volume of water flowing through the pipe in half an hour.

The inner radius of the pipe (r1) is given as 1 cm, and the rate of water flow is 80 cm/s.

First, we need to find out how much water flows in half an hour (30 minutes).

...