Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the distance from the point to the origin. a = 4. Answer is shown in 2nd picture but how do I get there?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the distance from the point to the origin.

a = 4.

Answer is shown in 2nd picture but how do I get there?

2p° sin ød pd 0dø= 2na4
m =
Jo Jo
Transcribed Image Text:2p° sin ød pd 0dø= 2na4 m = Jo Jo
4.5
-4.5
4.5
-4.5
Transcribed Image Text:4.5 -4.5 4.5 -4.5
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