The base of a solid S is the right half of the circle

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

Problem

x^{2}+y^{2}=1

. Square cross sections are taken perpendicular to the y-axis. What is the volume of S? (a)

\dfrac{8}{3}

(b)

\dfrac{\pi}{2}

(c)

\dfrac{2}{3}

(d)

\dfrac{4}{3}