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

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# Differential equation tank problem

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