Solve the Problem $\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 10,101 } { 3124 }$

question 13

Multiple Choice

Solve the problem.
-Find the centroid of a hemispherical shell having outer radius 8 and inner radius 6 if the density varies as the square of the distance from the base.

• A) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 10,101 } { 3124 }\)
• B) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 10,101 } { 1562 }\)
• C) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 16,835 } { 3124 }\)
• D) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 13,468 } { 2343 }\)

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Definitions:

Arterial Blood Gases

A test that measures the levels of oxygen and carbon dioxide in arterial blood, used to assess lung function and acid-base balance.

Respiratory Acidosis

A medical condition characterized by decreased acidity in the blood and other body fluids due to the accumulation of carbon dioxide as a result of impaired lung function.

Metabolic Acidosis

A condition where the body produces excessive acid, or the kidneys are not removing enough acid from the body, leading to a decrease in blood pH.

Anthracosis

The accumulation of carbon deposits in the lungs due to inhalation of smoke or coal dust, often associated with black lung disease.