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A region bounded between the planes z = 0 and z = 3, between the cylinders x^2 + y^2 = 4 and x^2 + y^2 = 25. In other words, a cylindrical tube of height 3 sitting on the x-y plane and extending up in the positive z-direction, with an inner radius of 2 and an outer radius of 5. I need to involve a single triple integral. I am getting confused on the step-by-step work in my evaluation.

A region bounded between the planes z = 0 and z = 3, between the cylinders x^2 + y^2 = 4 and x^2 + y^2 = 25. In other words, a cylindrical tube of height 3 sitting on the x-y plane and extending up in the positive z-direction, with an inner radius of 2 and an outer radius of 5. I need to involve a single triple integral. I am getting confused on the step-by-step work in my evaluation.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.3: Equations
Problem 10MRE
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I think it would be best to use cylendrical coordinates to solve this. 

Thank you for the help

 

O Will Wormhole X O Neutron Stars: X M Inbox (1,023) M Inbox (255) - t x Untitled docun X O Mth254 Sp20 F X My Questions × + A https://docs.google.com/document/d/19DYP43BYNBTL9|ns3bmVGrMpfcYm6LVnmt-mBnupujw/edit Search the menus (Alt+/) A P B I U A 150% Normal text Arial 11 + 1 1 5 6. I am trying to set up and evaluate an integral to find the following: A region bounded between the planes z = 0 and z = 3, between the cylinders x^2 + y^2 = 4 and x^2 + y^2 = 25. In other words, a cylindrical tube of height 3 sitting on the x-y plane and extending up in the positive z-direction, with an inner radius of 2 and an outer radius of 5. I need to involve a single triple integral. I am getting confused on the step-by-step work in my evaluation. Thank you for your help. 2:44 PM O Type here to search 87% 45°F 12/12/2021 > .. II > of
Transcribed Image Text:O Will Wormhole X O Neutron Stars: X M Inbox (1,023) M Inbox (255) - t x Untitled docun X O Mth254 Sp20 F X My Questions × + A https://docs.google.com/document/d/19DYP43BYNBTL9|ns3bmVGrMpfcYm6LVnmt-mBnupujw/edit Search the menus (Alt+/) A P B I U A 150% Normal text Arial 11 + 1 1 5 6. I am trying to set up and evaluate an integral to find the following: A region bounded between the planes z = 0 and z = 3, between the cylinders x^2 + y^2 = 4 and x^2 + y^2 = 25. In other words, a cylindrical tube of height 3 sitting on the x-y plane and extending up in the positive z-direction, with an inner radius of 2 and an outer radius of 5. I need to involve a single triple integral. I am getting confused on the step-by-step work in my evaluation. Thank you for your help. 2:44 PM O Type here to search 87% 45°F 12/12/2021 > .. II > of
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