# Rate of Change

## Rate of Change of Volume of Sand in Conical Shape

**Problem**

A conveyor is dispersing sands which forms into a conical pile whose height is approximately 4/3 of its base radius. Determine how fast the volume of the conical sand is changing when the radius of the base is 3 feet, if the rate of change of the radius is 3 inches per minute.

A. 2π ft/min | C. 3π ft/min |

B. 4π ft/min | D. 5π ft/min |

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## Rate of change of surface area of sphere

**Problem**

Gas is escaping from a spherical balloon at the rate of 2 cm^{3}/min. Find the rate at which the surface area is decreasing, in cm^{2}/min, when the radius is 8 cm..

## 52-53 Two cars traveling from the same point but going to different directions

## Maxima and Minima | Applications

**Graph of the Function y = f(x)**

The graph of a function y = f(x) may be plotted using Differential Calculus. Consider the graph shown below.

As x increases, the curve rises if the slope is positive, as of arc AB; it falls if the slope is negative, as of arc BC.