(b) A cake is shaped like a hemisphere of radius 4 with base on the xy-plane. A wedge of cake is removed by making two cuts from the center of the cake outward, perpendicular to the xy- plane and separated by an angle of . (b1) Use a double integral to find the volume of the slice for = 2π 3

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 22E
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Question 2
(b) A cake is shaped like a hemisphere of radius 4 with base on the xy-plane. A wedge of cake
is removed by making two cuts from the center of the cake outward, perpendicular to the xy-
plane and separated by an angle of .
(b1) Use a double integral to find the volume of the slice for
2π
3
Transcribed Image Text:Question 2 (b) A cake is shaped like a hemisphere of radius 4 with base on the xy-plane. A wedge of cake is removed by making two cuts from the center of the cake outward, perpendicular to the xy- plane and separated by an angle of . (b1) Use a double integral to find the volume of the slice for 2π 3
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