(Related Rates) The me of a right cone with radius r an Suppose that the radius and the height of the cone are changing with respect to time. a. Take the derivative of the function with respect to time to find a relationship dv dr dt'dt between ,and- dt dh b. At a certain instant of time, the radius is 12 inches, increasing at a rate of 0.2 in/sec and the height is 13 inches, increasing at a rate of 0.5 in/sec. How fast is the volume of the cone increasing at this instant?

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: