Mathematics

Problem

Water is being pumped into a cylindrical tank of radius 2 m at a rate of 6 m

^3

/min. At the same time, water leaks from a hole in the bottom at a rate of

4\sqrt{h}

^3

/min, where

h

is the water depth (in meters). For what water depth will the height of the water in the tank stop rising? a)

1.50\text{ m}

2.56\text{ m}

2.25\text{ m}

3.0\text{ m}