The Two Radii of the Frustum of a Right Circular

question 42

Multiple Choice

The two radii of the frustum of a right circular cone are increasing at a rate of 7 centimeters per minute, and the height is increasing at a rate of 16 centimeters per minute (see figure) . Find the rate at which the surface area is changing when the two radii are 19 centimeters and 24 centimeters, and the height is 8 centimeters. [Note: The surface area does not include the top and bottom circles.] Round your answer to two decimal places.

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Definitions:

Management Functions

Activities such as planning, organizing, leading, and controlling that are performed by management to efficiently and effectively coordinate the work of an organization.

Planning

The process of making plans for something, including setting goals and determining the means to achieve them.

Organizing

The act of arranging elements following one or multiple logics with the aim to reach a specific goal or manage a system of complexity.

Leading

The process of influencing others towards the achievement of goals; in a business context, it involves motivating employees and guiding the organization in a clear direction.