(b) A cake is shaped like a hemisphere of radius 4 with base on the ry-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 . (b2) Now suppose that the cake is shaped like a cylinder with the same radius and you take a slice in the same way with the same angle. How high the cake should be so that you get the same amount of cake as in part (bl)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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(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 .
(b2) Now suppose that the cake is shaped like a cylinder with the same radius and you
take a slice in the same way with the same angle. How high the cake should be so that
you get the same amount of cake as in part (bl)?
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 . (b2) Now suppose that the cake is shaped like a cylinder with the same radius and you take a slice in the same way with the same angle. How high the cake should be so that you get the same amount of cake as in part (bl)?
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