A right circular cone with height and base radius is filled with water

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A right circular cone with height

10\ \text{m}

and base radius

4\ \text{m}

is filled with water. The water depth

h

decreases at a constant rate of

0.20\ \text{m/min}

. When

h=6\ \text{m}

, determine the instantaneous rate at which the volume of water in the cone is changing. State your answer in cubic meters per minute.