I need to find the volume of water in a conical tank as a function of time. I am given that the cone is standing on its point.(adsbygoogle = window.adsbygoogle || []).push({});

The radius at the top of the cone is 1m and the height of the cone is 4m.

The height of the water initially is h(0)=0 and h(2)=3.

I am also told that the top of the cone is open and we are to assume that the water evaporates according to the following model:dV/dt=kA where k is a constant of proportionality and A is the exposed surface area.

I think I am stuck becuase I am used to working with things likeV'=kV and in the above model we have V's and A's. Any help would be appreciated. Thanks Jacob

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Differential equation tank problem

**Physics Forums | Science Articles, Homework Help, Discussion**