Let S be the solid formed when the region bounded by ,

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

Problem

Let S be the solid formed when the region bounded by

x = y^{3}

x = 8

, and

y = 0

is revolved about the y-axis. Which of the following equals the volume of S? (a)

\dfrac{576\pi}{7}

(b)

\dfrac{768\pi}{7}

(c)

\dfrac{384\pi}{7}

(d)

\dfrac{896\pi}{7}