5.5.8 Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 8², below by the re plane.z≥ 6, and 0≤ 0≤T. Find the volume of E.N102-104Triple IntegralCylindrical Coordinates-50X51010-10yNote: The graph is an example. The scale and equation parameters may not be the same for your particularproblem. Round your answer to two decimal places.Hint: Convert from rectangular to cylindrical coordinate system.

Answered: Image /qna-images/answer/a6420b39-f29d-493a-8ceb-6b8b9a5d8ae5.jpg

et E be the region bounded above by x² + y² + z² = 10², within x² + y² = 8², below by the re plane. 1 ≥ 6, and 0 ≤0< π. Find the volume of E. 4 N 10 8 6 4 -10 Triple Integral Cylindrical Coordinates -5 0 5 10 -10

et E be the region bounded above by x² + y² + z² = 10², within x² + y² = 8², below by the re plane. 1 ≥ 6, and 0 ≤0< π. Find the volume of E. 4 N 10 8 6 4 -10 Triple Integral Cylindrical Coordinates -5 0 5 10 -10

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 23E

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Question

5.5.8

Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 8², below by the re plane.
z≥ 6, and 0≤ 0≤
T. Find the volume of E.
N
10
2
-10
4
Triple Integral
Cylindrical Coordinates
-5
0
X
5
10
10
-10
y
Note: The graph is an example. The scale and equation parameters may not be the same for your particular
problem. Round your answer to two decimal places.
Hint: Convert from rectangular to cylindrical coordinate system.

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