Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 3², below by the xy plane. Find the volume of E. Z 10- 8 6 4- 2- -10 Triple Integral Cylindrical Coordinates X 10 `S 0 $ 10 Note: The graph is an example. The scale may not be the same for your particular problem. Round your answer to one decimal place. Hint: Convert from rectangular to cylindrical coordinate system.

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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5.5.7

Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 3², below by the xy plane.
Find the volume of E.
Z
10
8
6-
4-
2-
-10
Triple Integral
Cylindrical Coordinates
-5
0
X
5 10 у
10
Note: The graph is an example. The scale may not be the same for your particular problem. Round your
answer to one decimal place.
Hint: Convert from rectangular to cylindrical coordinate system.
Transcribed Image Text:Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 3², below by the xy plane. Find the volume of E. Z 10 8 6- 4- 2- -10 Triple Integral Cylindrical Coordinates -5 0 X 5 10 у 10 Note: The graph is an example. The scale may not be the same for your particular problem. Round your answer to one decimal place. Hint: Convert from rectangular to cylindrical coordinate system.
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