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
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

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
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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;
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