A cylindrical tank with radius m is being filled with water at a constant rate of m /min

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A cylindrical tank with radius

2\,

m is being filled with water at a constant rate of

5\,

^{3}

/min. Calculate the instantaneous rate of increase of the water height,

\dfrac{dh}{dt}

, in m/min.