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

question 57

Multiple Choice

The radius of a right circular cylinder is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What is the rate of change of the volumeWhen the radius is 14 inches and the height is 32 inches?

• A) \(4480 \pi\) in \(^ { 3 } / \mathrm { min }\)
• B) \(5488 \pi\) in \(^ { 3 } / \mathrm { min }\)
• C) \(4920 \pi\) in \(^ { 3 } / \mathrm { min }\)
• D) \(4592 \pi\) in \(^ { 3 } / \mathrm { min }\)
• E) \(4928 \pi\) in \(^ { 3 } / \mathrm { min }\)

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