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Consider the region R bounded by the parabola y = 36-² and the x-axis. To find the volume of the solid when R is revolved around the y-axis using the method of shells, evaluate the integral dx The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter 7)

Consider the region R bounded by the parabola y = 36-² and the x-axis. To find the volume of the solid when R is revolved around the y-axis using the method of shells, evaluate the integral dx The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter 7)

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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Question 3 < Consider the region R bounded by the parabola y = 36 - 2² and the x-axis. To find the volume of the solid when Ris revolved around the y-axis using the method of shells, evaluate the integral S dx The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter *)
Transcribed Image Text:Question 3 < Consider the region R bounded by the parabola y = 36 - 2² and the x-axis. To find the volume of the solid when Ris revolved around the y-axis using the method of shells, evaluate the integral S dx The volume of the solid formed when R is revolved around the y-axis is (Type "pi" to enter *)
Expert Solution
Step 1

For the cylindrical shell method, the formula when the region rotated around the y-axis is volume = 2π∫abr(x)h(x)dx

Where r(x) is shell radius and h(x) is shell height, both are functions of x.  

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