Related Rates (Cone Example)

This Calculus 1 related rates video explains how to find the rate of change of the water level in a conical tank where the water is being drained. We show how to use the formula for the volume of a cone to relate the rates of change for volume, radius, and height. We talk about what it means for a rate of change to be negative. We show how to take the derivative of our cone volume formula with respect to time, using the product rule. We also show how to find a missing quantity and a missing rate of change to finish solving the problem. We emphasize using the correct units for our quantities as we work through the problem.
0:00 Interpreting the problem & information
2:49 Differentiating the volume formula
4:06 Finding values not directly given
6:30 Plugging in the values to solve