Use the method of cylindrical shells to find the volume of the solid, generated by the enclosed region when rotating through one revolution. y=6x-2x, y=x, Rotation about x-0 Answer the following: 11 11 Sketch the graphs and show all information to determine the volume using the method specified above. a Set-up the formulation for the volume of the approximating rectangle (i.e. elemental volume). b Specify the domain of the enclosed region. .c Set-up the integral and if possible, simplify it. d

Question

Hi, could you let me know if the integral for part (c) of the attached image is V=integral from 0 to 3 of 2pi x((6x-2x^2)-x^2))dx ? Thank you.

Use the method of cylindrical shells to find the volume of the
solid, generated by the enclosed region when rotating through
one revolution.
y=6x-2x, y=x, Rotation about x-0
Answer the following:
11
11
Sketch the graphs and show all information to determine the
volume using the method specified above.
a
Set-up the formulation for the volume of the approximating
rectangle (i.e. elemental volume).
b
Specify the domain of the enclosed region.
.c
Set-up the integral and if possible, simplify it.
d

Image Transcription

Use the method of cylindrical shells to find the volume of the solid, generated by the enclosed region when rotating through one revolution. y=6x-2x, y=x, Rotation about x-0 Answer the following: 11 11 Sketch the graphs and show all information to determine the volume using the method specified above. a Set-up the formulation for the volume of the approximating rectangle (i.e. elemental volume). b Specify the domain of the enclosed region. .c Set-up the integral and if possible, simplify it. d

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Integration

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