Solve the Problem $8 \mathrm { in } / \mathrm { sec }$

question 392

Multiple Choice

Solve the problem. Round your answer, if appropriate.
-The radius of a right circular cylinder is increasing at the rate of $8 \mathrm { in } / \mathrm { sec }$ , while the height is decreasing at the rate of 9 in./sec. At what rate is the volume of the cylinder changing when the radius is 7 in. and the height is 20 in.?

• A) \(- 257\) in. \(3 / \mathrm { sec }\)
• B) \(679 \pi\) in. \(3 / \mathrm { sec }\)
• C) 679 in. \(_ { 3 } ^ { 3 } / \mathrm { sec }\)
• D) \(1799 \pi\) in. \(3 / \mathrm { sec }\)

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Definitions:

Unrelated Parts

Unrelated parts refer to components or elements that do not have a direct connection or association with each other within a specific context or system.

Extreme Behavior

Actions or conduct that significantly deviate from the social norms and expectations of a particular society or community.

Conflict Perspective

A sociological approach that views societal relationships as defined by tension and struggle between groups.

Progress

The advancement or development towards an improved or more advanced condition, often considered in societal, technological, or cultural terms.