The Volume of a Right Circular Cone of Radius R

question 78

Essay

The volume of a right circular cone of radius r and height h is . Suppose that the radius and height of the cone are changing with respect to time t.
a.Find a relationship between , , and .
b.At a certain instant of time, the radius and height of the cone are 12 in.and 13 in.and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively.How fast is the volume of the cone increasing?

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Definitions:

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A psychoactive drug known chemically as MDMA, often used recreationally for its effects like increased energy, emotional warmth, and distorted time and sensory perceptions.

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A slang term commonly used to refer to marijuana, a psychoactive drug from the Cannabis plant used for medical or recreational purposes.

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Substance that causes feelings of well-being, perceptual distortions, and paranoid thinking.