# Differential Equation regarding the change in volume wrt time?

• Feb 9th 2009, 06:12 AM
hus2020
Differential Equation regarding the change in volume wrt time?
The question is to investigate how much water fills up a cylindrical container in 3hours(investigate the change in volume wrt time).How do I write this differential equation?. Also, please suggest me how do I solve this scenario with Euler's numerical method approach. Thank you.
Details:

Diameter : 2inch
Length : 4inch

Time to fill the cylindrical pipe : 3 hours
• Feb 9th 2009, 06:41 AM
Bilbo Baggins
Quote:

Originally Posted by hus2020
The question is to investigate how much water fills up a cylindrical container in 3hours(investigate the change in volume wrt time).How do I write this differential equation?. Also, please suggest me how do I solve this scenario with Euler's numerical method approach. Thank you.
Details:

Diameter : 2inch
Length : 4inch

Hello. Do you have any additional information? Is there both an inflow and an outflow?
• Feb 9th 2009, 08:33 PM
hus2020
Basically, I want to investigate the inflow only. It works like this: when the water volume is large enough, the cylindrical pipe will rotate and the water will be poured into the aquarium. Then, the cylinder will be filled again.