Finding volume of a revolutionI want to find the volume of the revolution that occurs when the region bounded by y = x 2 and y = 1 is revolved around the line y = 2. The problem is that it is not solid and I cannot understand how the disk method could be used. How can one attack the problem?

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Finding volume of a revolutionI want to find the volume of the revolution that occurs when the region bounded by   y  =      x    2   and   y  =  1 is revolved around the line   y  =  2. The problem is that it is not solid and I cannot understand how the disk method could be used. How can one attack the problem?

wlanauee · Accepted Answer

Explanation:The disk method can be used here.  V  =            ∫              −        1            1        π          (      (      2      −              x        2                    )        2            −              1        2            )        d    x

I want to find the volume of the revolution that occurs when the region bounded by y=x^{2} and y=1 is revolved around the line y=2.

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