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AP® Calculus AB-BC

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Cross-Sectional Squares

APCALC-0WNUJI

The base of a solid is a circle bounded by the curve ${ x }^{ 2 }+{ y }^{ 2 }=4.$

Find the volume of the solid formed by cross-sections perpendicular to the x-axis that are squares.

A

$\cfrac{128}{3}$

B

$\cfrac{64}{3}$

C

$\cfrac{32}{3}$

D

$\cfrac{16}{3}$