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AP® Calculus AB-BC

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Moderate

Volume by Cross Sectional Area

APCALC-EFBKE4

The region in the first quadrant bounded by the graph of $y=4-x^{2}$ and the $x$ and $y$ axes is the base of a solid. For this solid, each cross section perpendicular to the $x$-axis forms an equilateral triangle. What is the volume of this solid?

A

$7.3901$

B

$8.533$

C

$17.067$

D

$53.617$