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. \(3 / \mathrm { sec }\)

---

Definitions:

Canadian Dynasties

Prominent families in Canada known for their significant impact and influence on the country's business, political, or cultural landscape.

Heirs

Legal successors entitled to inherit the property or rights of a deceased individual under the laws of inheritance.

Replacement Planning

A component of succession management focusing on identifying immediate replacements for key roles within an organization.

Succession Management

A strategy to identify and develop future leaders at a company, ensuring a smooth transition and the continued effectiveness of the organization in the face of change.