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OpenStudy (anonymous):
Help spotting my mistake in finding volume by revolution of shells method.
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OpenStudy (anonymous):
OpenStudy (anonymous):
Okay, so this is probably the 12th time I have tried to solve this problem and it is still failing me. I have to find the volume of revolution of y=x^2 up to x=1 when revolved around y=-3. I know I'm setting up the integral incorrectly somehow, but I don't know how. The formula is 2pi(radius)(height)
OpenStudy (anonymous):
It is being revolved around y=-3, so I know that everything has to be in terms of y. Solving for x gets me sqrt(y)
OpenStudy (anonymous):
The height of the cylinder is the right value minus the left value, 1 is the right value and sqrt(y) should be the left value.
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