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

question 5

Multiple Choice

The radius of a right circular cylinder is increasing at a rate of 9 inches per minute, and the height is decreasing at a rate of 7 inches per minute. What is the rate of change of the surface area when the radius is 12 inches and the height is 32 inches?

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Definitions:

Ambrosia

In classical mythology, the food of the gods, or in general usage, something extremely pleasing to taste or smell.

Rocks Oxidize

The chemical process where rocks react with oxygen, leading to changes in their mineral composition and often causing them to weaken or crumble.

Earth's Surface

The outermost layer of the Earth, consisting of the crust and parts of the upper mantle that interact directly with the biosphere and atmosphere.

Minerals

Naturally occurring, inorganic solids with a definite chemical composition and a crystalline structure, forming the building blocks of rocks.