1. find the volume of the solid resulting from revolving the region with the radius (2 – ½x)and - area A(X)=π(2-x)² 2. find the volume of the solid as the region bound by the curve y²=x-2 and the y-axis from y=0 to y=2 as it rotates around the axis 3. find the volume of the solid of the washer with other radius x and other radius x³, so its area is A=π[(x)² = (x³)²]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. find the volume of the solid resulting from revolving the region with the radius (2 – ½x)and
-
area
A(X)=π(2-x)²
2. find the volume of the solid as the region bound by the curve y²=x-2 and the y-axis from y=0 to
y=2 as it rotates around the axis
3. find the volume of the solid of the washer with other radius x and other radius x³, so its area is
A=π[(x)² = (x³)²]
Transcribed Image Text:1. find the volume of the solid resulting from revolving the region with the radius (2 – ½x)and - area A(X)=π(2-x)² 2. find the volume of the solid as the region bound by the curve y²=x-2 and the y-axis from y=0 to y=2 as it rotates around the axis 3. find the volume of the solid of the washer with other radius x and other radius x³, so its area is A=π[(x)² = (x³)²]
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