Find the Area of the Surface Obtained by Rotating the Circle

question 13

Multiple Choice

Find the area of the surface obtained by rotating the circle $x ^ { 2 } + y ^ { 2 } = 8 ^ { 2 }$ about the line $y = 8$ . Select the correct answer.

• A) \(128 \pi ^ { 2 }\)
• B) \(256 \pi ^ { 2 }\)
• C) \(192 \pi ^ { 2 }\)
• D) \(64 \pi ^ { 2 }\)
• E) \(448 \pi ^ { 2 }\)

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Definitions:

"Old-Fashioned" Leadership

A style of leadership characterized by traditional approaches, such as top-down decision-making and autocratic management practices.

Leadership as a Responsibility

The concept that leadership involves not just authority and decision-making but also accountability, ethical conduct, and a commitment to acting in the best interests of the group or organization.

Directive Behaviours

Actions of a leader that provide clear instructions, expectations, and guidance to their subordinates.

Assertive

Characterized by confident and forceful behavior, enabling individuals to express their thoughts, beliefs, and feelings in an honest and direct manner.