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) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 13,468 } { 2343 }\)

---

Definitions:

Extracellular

Situated or taking place outside a cell or cells.

Metabolic Acidosis

A condition where there is too much acid in the body fluids, often caused by kidney disease, diabetes, or excessive alcohol intake.

Arterial Blood Gas

A test that measures the levels of oxygen and carbon dioxide in the blood from an artery, used to assess lung function and how well oxygen is being circulated.

Electrolyte

Minerals in the body fluids that carry an electric charge and are essential for muscle function, hydration, and blood pH balance.