A solid has as its base the semicircular region bounded above by and below by the –axis

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid has as its base the semicircular region bounded above by

y=\sqrt{16-x^{2}}

and below by the

x

–axis. Cross sections taken perpendicular to the

y

–axis are squares. Determine the volume of the solid. (a)

\dfrac{128\pi}{3}

(b)

\dfrac{256}{3}

(c)

\dfrac{512}{3}

(d)

\dfrac{1024}{3}