the origin. If the disk is raised upwards up to the point that it meets the cone, which of the integrals listed below is equal to the volume of the cylinder formed by this movement of the disk? c2π 4-r A. ² fo rdzdrde r2п 4-r B. ² of rdzdrdo c4-r dzdrdo c2π c. fo c2π D. ff frdrdzdo rdzdrdo c2π E. ²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the cone with equation z = 4-r for 0 ≤ z ≤ 4 and a disk of radius 3 centred at
the origin. If the disk is raised upwards up to the point that it meets the cone, which of
the integrals listed below is equal to the volume of the cylinder formed by this movement
of the disk?
c2π
A. S2² S
4-r
So Sordzdrde
2π 3 4-r
B. 53 So fordzdrde
C4-r
c. ff. dzdrde
D. ff - rdrdzde
c2π
E. ² rdzdrdo
So
Transcribed Image Text:Consider the cone with equation z = 4-r for 0 ≤ z ≤ 4 and a disk of radius 3 centred at the origin. If the disk is raised upwards up to the point that it meets the cone, which of the integrals listed below is equal to the volume of the cylinder formed by this movement of the disk? c2π A. S2² S 4-r So Sordzdrde 2π 3 4-r B. 53 So fordzdrde C4-r c. ff. dzdrde D. ff - rdrdzde c2π E. ² rdzdrdo So
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