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The graphs of z = 6, y = f(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale. Region One The points labeled are A = (6,4), B = (6, 6), C = (4, 5), and D=(3, 0). Suppose the portion of Region One in the First Quadrant is revolved around the 3-axis.

The graphs of z = 6, y = f(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale. Region One The points labeled are A = (6,4), B = (6, 6), C = (4, 5), and D=(3, 0). Suppose the portion of Region One in the First Quadrant is revolved around the 3-axis.

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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The graphs of z = 6, y = f(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale. Region One The points labeled are A = (6,4), B = (6, 6), C = (4, 5), and D=(3, 0). Suppose the portion of Region One in the First Quadrant is revolved around the g-axis. Select the expression (s) needed to find the volume of the solid of revolution formed when the region is revolved around the y-axis. f*h(x) dz of*2xx f(2) dr 0f2 of* f(2) dz ©*2mx (2) da 27th(z) dr 027 2xh(z) dr B
Transcribed Image Text:The graphs of z = 6, y = f(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale. Region One The points labeled are A = (6,4), B = (6, 6), C = (4, 5), and D=(3, 0). Suppose the portion of Region One in the First Quadrant is revolved around the g-axis. Select the expression (s) needed to find the volume of the solid of revolution formed when the region is revolved around the y-axis. f*h(x) dz of*2xx f(2) dr 0f2 of* f(2) dz ©*2mx (2) da 27th(z) dr 027 2xh(z) dr B
Expert Solution
Step 1

The volume of revolution of of the area between the function f(x) and the x-axis from x=a to x=b around y- axis is given by the equation;

V=2π∫abx·f(x)dx

 

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