Ej N.

asked • 10/16/22

use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis.

y= x2 , x=2 , y= 0


I got 40pi for my final answer I want to confirm if it is correct or not. I was told it was wrong by my auto grader.

Ej N.

Okay so I think I mixed up some numbers when I was calculating and now my new answer is 16pi. I’m still not sure if I’m on the right track or not
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10/17/22

Doug C.

I see the problem stated to use cylindrical shells. The graph I pointed you to uses disk method. However, the graph should have squared x^2 to get x^4 with an antiderivative of (1/5)x^5. Using either shell or disk method the answer should be 32pi/5. desmos.com/calculator/sn28crfsih The updated graph shows solution for both disk and shell methods.
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10/17/22

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Doug C. answered • 10/17/22

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