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

question 79

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?

• A) \(936 \pi \mathrm { in. } ^ { 2 } / \mathrm { min }\)
• B) \(984 \pi\) in. \(^ { 2 } / \mathrm { min }\)
• C) \(876 \pi\) in. \(^ { 2 } / \mathrm { min }\)
• D) \(840 \pi\) in. \(^ { 2 } / \mathrm { min }\)
• E) \(968 \pi\) in. \(^ { 2 } / \mathrm { min }\)

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Definitions:

Lower of Cost

A principle stating that inventory must be recorded at either its historical cost or market value, whichever is lower.

Market Valuation

The process of determining the current value of a company or an asset in the marketplace.

Constraints

Conditions or limitations within which a system, process, or project must operate.

Market Value

The current price at which an asset or service can be bought or sold in a marketplace.