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? asked in Science & MathematicsMathematics · 6 years ago

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.

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  • ted s
    Lv 7
    6 years ago
    Favorite 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

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