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The Two Radii of the Frustum of a Right Circular

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The two radii of the frustum of a right circular cone are increasing at a rate of 5 centimeters per minute, and the height is increasing at a rate of 12 centimeters per minute (see figure) . Find the rate at which the volume is changing when the two radii are 18 centimeters and 30 centimeters, and the height is 14 centimeters. The two radii of the frustum of a right circular cone are increasing at a rate of 5 centimeters per minute, and the height is increasing at a rate of 12 centimeters per minute (see figure) . Find the rate at which the volume is changing when the two radii are 18 centimeters and 30 centimeters, and the height is 14 centimeters.   A)    B)    C)    D)    E)

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Definitions:

Extinction

The permanent loss of all members of a species, eliminating its presence from the Earth.

Low Reproduction Rate

refers to the situation in which a species or population produces offspring at a rate that is lower than the average, often leading to concerns about population sustainability and growth.

Extinction Crisis

A period characterized by a significant increase in the rate at which species become extinct, often due to human activities.

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