3. Using the disk/washer method, write the volume of the solid obtained by rotating the region enclosed by y=Vx, x=4, and y 0, about the horizontal line y = 3 as a definite integral. Follow the steps: a) Draw a clear picture of the region (shape, intersection points, etc) that is rotated about the y = 3, draw the resulting solid and an intermediate disk/washer. b) Find the volume of an intermediate disk/washer. Make sure you specify the radius/radii of the disk/washer in terms of the points on the subdivision created and the thickness! V, = c) Write the volume of the solid as a Riemann sum and the definite integral that represents the volume of the solid. V =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Using the disk/washer method, write the volume of the solid obtained by
rotating the region enclosed by y= vx, x=4, and y = 0, about the horizontal
line y = 3 as a definite integral. Follow the steps:
a) Draw a clear picture of the region (shape, intersection points, etc) that is rotated about
the y = 3, draw the resulting solid and an intermediate disk/washer.
%3D
b) Find the volume of an intermediate disk/washer. Make sure you specify the
radius/radii of the disk/washer in terms of the points on the subdivision created and
the thickness!
V =
c) Write the volume of the solid as a Riemann sum and the definite integral that
represents the volume of the solid.
V =
d) Find the volume of the solid.
Transcribed Image Text:3. Using the disk/washer method, write the volume of the solid obtained by rotating the region enclosed by y= vx, x=4, and y = 0, about the horizontal line y = 3 as a definite integral. Follow the steps: a) Draw a clear picture of the region (shape, intersection points, etc) that is rotated about the y = 3, draw the resulting solid and an intermediate disk/washer. %3D b) Find the volume of an intermediate disk/washer. Make sure you specify the radius/radii of the disk/washer in terms of the points on the subdivision created and the thickness! V = c) Write the volume of the solid as a Riemann sum and the definite integral that represents the volume of the solid. V = d) Find the volume of the solid.
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