Solve the Problem $( \bar { x } , \bar { y } , \bar { z } ) = \left( \frac { 9 } { 5 } , \frac { 9 } { 5 } , \frac { 9 } { 5 } \right)$

question 295

Multiple Choice

Solve the problem.
-Find the centroid of the first-octant portion of a solid ball of radius 3 centered at the origin.

• A) \(( \bar { x } , \bar { y } , \bar { z } ) = \left( \frac { 9 } { 5 } , \frac { 9 } { 5 } , \frac { 9 } { 5 } \right)\)
• B) \(( \bar { x } , \bar { y } , \bar { z } ) = \left( \frac { 9 } { 8 } , \frac { 9 } { 8 } , \frac { 9 } { 8 } \right)\)
• C) \(( \bar { x } , \bar { y } , \bar { z } ) = \left( \frac { 6 } { 5 } , \frac { 6 } { 5 } , \frac { 6 } { 5 } \right)\)
• D) \(( \bar { x } , \bar { y } , \bar { z } ) = \left( \frac { 15 } { 8 } , \frac { 15 } { 8 } , \frac { 15 } { 8 } \right)\)

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Definitions:

Mutual Aid

A form of voluntary reciprocal exchange of resources and services for mutual benefit, emphasizing solidarity and cooperation among participants.

Emotional Support

Assistance provided through empathy, concern, and affection to help individuals cope with stress, challenges, or emotional distress.

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A method of identifying a problem, finding alternative solutions, and choosing and implementing the most suitable solution.

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