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Use spherical coordinates to find the volume of the part of the ball, p ≤ 4, that lies between the planes z = 2 and z = 2√3. (Hint: To find the boundaries for p, consider what positive angle off the z-axis results in a triangle with an adjacent side of the desired length. See my poor beautiful drawing.) Z 2 9 S 18

Use spherical coordinates to find the volume of the part of the ball, p ≤ 4, that lies between the planes z = 2 and z = 2√3. (Hint: To find the boundaries for p, consider what positive angle off the z-axis results in a triangle with an adjacent side of the desired length. See my poor beautiful drawing.) Z 2 9 S 18

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter85: Hexadecimal Numeration System
Section: Chapter Questions
Problem 5A
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Use spherical coordinates to find the volume of the part of the ball, p ≤ 4, that lies between the planes z = 2 and z = 2√3. (Hint: To find the boundaries for p, consider what positive angle off the z-axis results in a triangle with an adjacent side of the desired length. See my poor beautiful drawing.) Z 2 9 S 18
Transcribed Image Text:Use spherical coordinates to find the volume of the part of the ball, p ≤ 4, that lies between the planes z = 2 and z = 2√3. (Hint: To find the boundaries for p, consider what positive angle off the z-axis results in a triangle with an adjacent side of the desired length. See my poor beautiful drawing.) Z 2 9 S 18
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