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Find the volume of the solid generated by revolving the described region about the given axis:?
Find the volume of the solid generated by revolving the described region about the given axis:
The region bounded above by the line y = 6 and below by the curve y = 4 \sec(x), -\frac{\pi}{4} \le x \le \frac{\pi}{4}, rotated about the x-axis.
1 Answer
- ted sLv 76 years agoFavorite Answer
a [ π ( large radius² - small radius² )thickness ] concept...large radius is = 6 ;
small is 4 cos x ; thickness is [ dx ] x in [ - π / 4 , π / 4 ]....cos² Θ = [cos 2Θ + 1 ] / 2