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mshiddensecret
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Homework Statement
The volume of the solid obtained by rotating the region bounded by
x=6y^2 [PLAIN]http://msr02.math.mcgill.ca/webwork2_files/jsMath/fonts/cmmi10/alpha/144/char3B.png y=1 [PLAIN]http://msr02.math.mcgill.ca/webwork2_files/jsMath/fonts/cmmi10/alpha/144/char3B.png x=0[PLAIN]http://msr02.math.mcgill.ca/webwork2_files/jsMath/fonts/cmmi10/alpha/144/char3B.png it is rotate about the y- axis.
Homework Equations
The Attempt at a Solution
Using the disk method, I figured out by integrating (pi)(6y^2)^2 dy from 0 - 1 and got the answer: 22.619
However, I cannot write an integral equation using the cylindrical shell method. My attempt is:
Integrating (2pi)(sqrt(x/6))dx from x = 0 to 6.
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