Mathematics

Problem

Water is pumped into a vertical cylindrical tank at a rate of

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

. The tank has an interior radius of

2\text{ m}

. At the instant when the depth of the water is

3\text{ m}

, what is the rate at which the water level is rising? a)

\dfrac{5}{4}\text{ m}\!/\text{min}

\dfrac{5}{4\pi}\text{ m}\!/\text{min}

\dfrac{5}{2\pi}\text{ m}\!/\text{min}

\dfrac{5}{8\pi}\text{ m}\!/\text{min}