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AP® Calculus AB-BC

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Moderate

Volume with Rectangular Cross-Sections

APCALC-BKOLZC

The base of a solid is a parabolic region bounded by the curves $x^2 = 4y$ and $y = 1$.

Find the volume of the solid formed by cross-sections perpendicular to the y-axis that are rectangles with a height twice the length of the base.

A

$32$

B

$16$

C

$8$

D

$4$