Water is flowing at the rate of through a circular pipe of internal diameter into a circular cistern of diameter and depth . In how much time, will the cistern be filled?
Step 1: Find the volume of the circular pipe
Given that,
The diameter of a circular pipe
Thus, the radius of a circular pipe
Water is flowing at the rate
Let us consider the cistern will be filled in
The height of a circular pipe
We know that the volume of a cylinder is given by , where is radius and is height of the cone.
The volume of a circular pipe
Step 2: Find the volume of the circular cistern.
Given that, the height of the circular cistern ,
And, the diameter of the circular cistern
Thus, the radius of the circular cistern
The volume of a circular cistern
Step 3: Find in how much time will the cistern be filled.
We have, Volume of circular pipe volume of a circular cistern
Hence, the cistern can be filled in .