Mathematics

Problem

A cylindrical tank of radius

4\,\text{m}

is being drained at

3\,\text{m}^3/\text{min}

. Simultaneously, evaporation lowers the water level at

0.10\,\text{m}/\text{min}

. When the water depth is

5\,\text{m}

, determine the net rate of change of the water volume in the tank (in

\text{m}^3/\text{min}