Mathematics, 24.03.2020 05:06 ronaldhernandez598
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 32 − x2, y = x2; about x = 4
Answers: 2
unit.
, 
and 
. Thus both curves intersect at the points (4,16),(-4,16). And thus 
.
which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,
![=2\pi\{144\big[x\big]_{-4}^{4}-18\big[x^2\big]_{-4}^{4}-\frac{8}{3}\big[x^3\big]_{-4}^{4}+\frac{1}{2}\big[x^4\big]_{-4}^{4}\}](/tpl/images/0560/5522/0fffa.png)
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