Water enters an empty upright right circular cone at a constant rate of

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

Problem

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

. The cone is

10\,\text{m}

tall with a base radius of

5\,\text{m}

. How fast is the water level

h

rising, in

\text{m}/\text{min}

, at the instant when the water is

6\,\text{m}

deep?