Mathematics

Problem

Water is being pumped into an empty inverted right circular cone at a constant rate of

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

. The tank has a height of

9\text{ m}

and a base radius of

3\text{ m}

. What is the rate of change of the water depth

h

when the water is

4\text{ m}

deep? a)

\dfrac{2}{3\pi}\text{ m/min}

\dfrac{9}{4\pi}\text{ m/min}

\dfrac{9}{8\pi}\text{ m/min}

\dfrac{3}{8\pi}\text{ m/min}