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Let E be the ball of radius 5 centered on the origin from which the cylinder about the z-axis of radius 4 is removed. (a) The volume of E is: 53 53 (1) Larger than 3 (2) Smaller than 47 24 3 (3) Both (1) and (2) (4) Neither (1) nor (2) (b) In standard cylindrical coordinates, E can be parametrised by -Vr² – 16 < z < Vr² – 16 Vz? + 16

Let E be the ball of radius 5 centered on the origin from which the cylinder about the z-axis of radius 4 is removed. (a) The volume of E is: 53 53 (1) Larger than 3 (2) Smaller than 47 24 3 (3) Both (1) and (2) (4) Neither (1) nor (2) (b) In standard cylindrical coordinates, E can be parametrised by -Vr² – 16 < z < Vr² – 16 Vz? + 16

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let E be the ball of radius 5 centered on the origin from which the cylinder about the z-axis of radius 4 is removed. (a) The volume of E is: (1) Larger than · 53 3 53 (2) Smaller than 47 3 24 (3) Both (1) and (2) (4) Neither (1) nor (2) (b) In standard cylindrical coordinates, E can be parametrised by -Vr² – 16 < z < Vr2 – 16 V22 + 16 <r < 5 (1) 4 <r< 5 -3 <z< 3 15 of 24 0<0< 27 0 <0< 2n -3 < z< 3 (3) 4 <r< 5 (4) Both (1) and (2) (5) None of the answers 0 < 0< 27 Volume(E) (c) Evaluate exactly Your answer to (a): Your answer to (b): Your answer to (c):
Transcribed Image Text:Let E be the ball of radius 5 centered on the origin from which the cylinder about the z-axis of radius 4 is removed. (a) The volume of E is: (1) Larger than · 53 3 53 (2) Smaller than 47 3 24 (3) Both (1) and (2) (4) Neither (1) nor (2) (b) In standard cylindrical coordinates, E can be parametrised by -Vr² – 16 < z < Vr2 – 16 V22 + 16 <r < 5 (1) 4 <r< 5 -3 <z< 3 15 of 24 0<0< 27 0 <0< 2n -3 < z< 3 (3) 4 <r< 5 (4) Both (1) and (2) (5) None of the answers 0 < 0< 27 Volume(E) (c) Evaluate exactly Your answer to (a): Your answer to (b): Your answer to (c):
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