The Radius of a Right Circular Cylinder Is Increasing at a Rate

question 20

Multiple Choice

The radius of a right circular cylinder is increasing at a rate of 8 inches per minute, and the height is decreasing at a rate of 6 inches per minute. What is the rate of change of the surface area when the radius is 16 inches and the height is 37 inches?

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Definitions:

Sinus

Cavities or air spaces within the bones of the skull and face that are connected to the nasal cavities, playing roles in respiration and the production of mucus.

Tubercle

A small rounded projection or nodule, especially one that is part of the structure of a bone.

Genu Valgum

A medical condition characterized by the inward angulation of the knees, commonly referred to as "knock-knees."

Genu Varum

A condition characterized by the outward bowing of the legs, commonly referred to as "bowlegs."