Answer:

Step-by-step explanation:
Given



Required
Determine the coordinates of the centroid
Represent the coordinates with C.
C is calculated as follows:

Substitute values of x and y in the given equation



<em>The above is the coordinate of the centroid</em>
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Sphere Volume = <span> 4/3 • <span>π <span>• r³
r^3 = sphere volume / (4/3 * PI)
r^3 = 288*PI / (4/3 * PI)
</span></span></span><span>r^3 = 288 / (4/3)
</span>r^3 = 216
r = 6 inches
Sphere Surface Area = <span> 4 • <span>π <span>• r²
</span></span></span>
Sphere Surface Area = 4 * PI * 36
Sphere Surface Area =
<span>
<span>
<span>
452.389 square inches
</span></span></span>