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Use the shell method to find the volume of the solid

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Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about the y-axis.

y = x^2, y = 7-6x, x = 0, for x >=0

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It shows how to use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about the y-axis. The solution is detailed and well organized.

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See Also This Related BrainMass Solution

Finding the Volume of Revolution Using the Shell Method

Using the shell method, find the volume of a solid generated by revolving about the y axis.

The boundaries of the solid are:
y=9x/√(x³+9)
the x-axis
the line x=3

Note: I received a solution to this problem from an OTA, but it appeared that the integration wasn't complete. I would like to see another OTA solve the problem to verify the solution. Thanks

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