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

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