Thread: 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

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?

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.