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AP® Calculus AB-BC

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Volume About The X-axis

APCALC-O1N1SW

Find the volume of the region enclosed by$f( x ) ={ -x }^{ 2 }+1$, $x > 0$ and $y = 0$ rotated about the x-axis.

A

$\cfrac{\pi}{2}$

B

$\cfrac{2\pi}{3}$

C

$\cfrac{4\pi}{3}$

D

$\cfrac{8\pi}{15}$