Let D be the top half of a ball of radius 3 centered at the origin....

 

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Let D be the top half of a ball of radius 3 centered at the origin. Find the average distance of points in D from the origin using the appropriate triple integral in spherical coordinates. Hint: Set up a function f(p. 4,0) which gives the distance of the point (p, p, 0) to the origin. Then use the triple integral formula for the average of a function. Let D be the top half of a ball of radius 3 centered at the origin. Find the average distance of points in D from the origin using the appropriate triple integral in spherical coordinates. Hint: Set up a function f(p. 4,0) which gives the distance of the point (p, p, 0) to the origin. Then use the triple integral formula for the average of a function.