Finding the volume of a solid of revolution (washer method) Using the washer method, determine the volume of a solid formed by revolving the region in the first quadrant bounded on the left by the circle x² + y² = 16, on the right by the line = 4, and above by the line y 4 about the y-axis. The 2d picture below may help in determining the inner and outer radius of the washer used in setting up the integral for the volume. For a dynamic 3d look at the solid, click here (This will open a new window) Part 1. 2²+²=² Setup the integral that represents the volume the solid of revolution described above.. Part 2. The volume of the solid is units cubed. NOTE: Type an exact value without using decimals. Note: You can earn partial credit on this problem.
Finding the volume of a solid of revolution (washer method) Using the washer method, determine the volume of a solid formed by revolving the region in the first quadrant bounded on the left by the circle x² + y² = 16, on the right by the line = 4, and above by the line y 4 about the y-axis. The 2d picture below may help in determining the inner and outer radius of the washer used in setting up the integral for the volume. For a dynamic 3d look at the solid, click here (This will open a new window) Part 1. 2²+²=² Setup the integral that represents the volume the solid of revolution described above.. Part 2. The volume of the solid is units cubed. NOTE: Type an exact value without using decimals. Note: You can earn partial credit on this problem.
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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Transcribed Image Text:Finding the volume of a solid of revolution (washer method)
Using the washer method, determine the volume of a solid formed by revolving the region in the first quadrant bounded on the left by the circle x² + y² = 16, on the right by the line x = 4, and above by the line y = 4 about the y-axis.
The 2d picture below may help in determining the inner and outer radius of the washer used in setting up the integral for the volume.
For a dynamic 3d look at the solid, click here
(This will open a new window.)
Part 1.
x² + y² = r²\
Setup the integral that represents the volume of the solid of revolution described above..
=
Part 2.
The volume of the solid is units cubed.
NOTE: Type an exact value without using decimals.
Note: You can earn partial credit on this problem.
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