(b) A cake is shaped like a hemisphere of radius 2 with base on the zy-plane. A wedge of cake is removed by making two cuts from the center of the cake outward, perpendicular to the ay-plane and separated by an angle of (b1) Use a double integral to find the volume of the slice for = - ₁ (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)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
(b) A cake is shaped like a hemisphere of
radius 2 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 ry-plane and separated by an angle of
6.
(b1) Use a double integral to find the
volume of the slice for =
(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:(b) A cake is shaped like a hemisphere of radius 2 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 ry-plane and separated by an angle of 6. (b1) Use a double integral to find the volume of the slice for = (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)?
Expert Solution
steps

Step by step

Solved in 3 steps with 13 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,

Expert Answers to Latest Homework Questions

Q: What will be the steady - state receivables balance on these general accounting question?
Q: Solve these general accounting question not use ai
Q: Need answer the financial accounting question
Q: Please provide answer the accounting question
Q: The management accountant of G-Force Merchandising is preparing the cash budget for the third…
Q: The two fiscal policy tools available for the government, and how the government uses them.
Q: Only one option can be selected
Q: Only one option can be selected
Q: Match each piece of code with the value that it produces given each answer can only be used once
Q: Only one option acn be selected
Q: Match the pieces of code below to the string that each returns. given each answer can only be used…
Q: Below are five separate definitons of a function fibonacci. Select the only definition that does not…
Q: Two ice skaters, both of mass 68 kgkg, approach on parallel paths 1.6 mm apart. Both are moving at…
Q: In the system shown in Figure 1, link OB has a constant angular velocity of 200 rad/s clockwise. For…
Q: :overlap is CON if the Q2/A mealy Asynchronous sequential circuit has two inputs (X1,X2) and and two…
Q: Use the unit load method to compute the horizontal displacement at A. Take E =29,000 ksi. Themoment…
Q: 9 Pure 0.382 A indoctor and 663MF Capacitor are Connected DA 602 resistor 240V/50HZ from the Supply…
Q: python  The text document feelings.txt contains lines that alternate between a date and a mood. For…
Q: question is attached. thank you
Q: Please do theoretical calculation q1 q2 and q3 step by step no ai solution thank you
Q: Need Answer of this Accounting Question with explanation