A conical tank of height 3m is full of water and the radius of surface is 1m. After 8 hrs the depth of water is 1.5m. If we assume that the water
evaporate at a rate proportional to the surface area expose to the air, obtain a mathematical model for predicting the volume of water in the tank
at any time t.
trying to solve this model since two days, and this is what i have been able to come up with.
1 radius of conical tank (r)
2 height (h)
3 cross-sectional area
4 volume in t time V(t)
5 rate of evaporation
then i came up with this model formulation
, v in volume, t in hrs
pls i will greatly appreciate any idea on this, thanks