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:

Transcontinental Railroad

A network of railroad trackage that crosses a continental land mass, connecting the Pacific and Atlantic coasts of the United States, completed in 1869.

Union Pacific

A major railroad company in the United States, primarily operating in the western two-thirds of the country.

Central Pacific

Often refers to the central area of the Pacific Ocean, but can also denote the Central Pacific Railroad, a key portion of the First Transcontinental Railroad in the United States.

Clement Vallandigham

A controversial American politician and leader of the Copperhead faction of anti-war Democrats during the Civil War, known for his opposition to Abraham Lincoln's policies.