Upgrade subject to access all content

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.

$\cfrac{128}{3}$

$\cfrac{64}{3}$

$\cfrac{32}{3}$

$\cfrac{16}{3}$